Question 1

Answer the question.
-If $\mathrm { n }$ is an odd number, then which of the following statements is true?

Accepted Answer

A)  The equation $\mathrm { x } ^ { \mathrm { n } } + 1 = 0$ has $\mathrm { n } + 1$ roots. 
B)  The equation $\mathrm { x } ^ { \mathrm { n } } + 1 = 0$ has exactly one real root. 
C)  The equation $\mathrm { x } ^ { \mathrm { n } } + 1 = 0$ has an even number of real roots. 
D)  The equation $\mathrm { x } ^ { \mathrm { n } } + 1 = 0$ has an odd number of nonreal roots. 
A)  The equation $\mathrm { x } ^ { \mathrm { n } } + 1 = 0$ has $\mathrm { n } + 1$ roots. 
B)  The equation $\mathrm { x } ^ { \mathrm { n } } + 1 = 0$ has exactly one real root. 
C)  The equation $\mathrm { x } ^ { \mathrm { n } } + 1 = 0$ has an even number of real roots. 
D)  The equation $\mathrm { x } ^ { \mathrm { n } } + 1 = 0$ has an odd number of nonreal roots.

Question 2

Write the vector in the form <a, b>. If necessary, round values to the nearest hundredth.
-

Accepted Answer

A)  $\langle - 7.78,7.78 \rangle$ 
B)  $\langle - 0.77,0.64 \rangle$ 
C)  $\langle - 7.07,8.43 \rangle$ 
D)  $\langle - 8.43,7.07 \rangle$ 
A)  $\langle - 7.78,7.78 \rangle$ 
B)  $\langle - 0.77,0.64 \rangle$ 
C)  $\langle - 7.07,8.43 \rangle$ 
D)  $\langle - 8.43,7.07 \rangle$

Question 3

The rectangular coordinates of a point are given. Express the point in polar coordinates with r ≥ 0 and 0° ≤ θ < 360°.
-$( 4 , - 4 )$

Accepted Answer

A)  $\left( 4 \sqrt { 2 } , 135 ^ { \circ } \right)$ 
B)  $\left( 4 \sqrt { 2 } , 315 ^ { \circ } \right)$ 
C)  $\left( 4 \sqrt { 2 } , 225 ^ { \circ } \right)$ 
D)  $\left( 4 \sqrt { 2 } , 45 ^ { \circ } \right)$ 
A)  $\left( 4 \sqrt { 2 } , 135 ^ { \circ } \right)$ 
B)  $\left( 4 \sqrt { 2 } , 315 ^ { \circ } \right)$ 
C)  $\left( 4 \sqrt { 2 } , 225 ^ { \circ } \right)$ 
D)  $\left( 4 \sqrt { 2 } , 45 ^ { \circ } \right)$

Question 4

Find the missing parts of the triangle.
- 
If necessary, round angles to the nearest degree and give exact values of side lengths.

Accepted Answer

A)  $\mathrm { B } = 60 ^ { \circ } , \mathrm { C } = 90 ^ { \circ } , \mathrm { b } = 7$ 
B)  no such triangle 
C)  $\mathrm { B } = 60 ^ { \circ } , \mathrm { C } = 90 ^ { \circ } , \mathrm { b } = 7 \sqrt { 3 }$ 
D)  $\mathrm { B } = 90 ^ { \circ } , \mathrm { C } = 60 ^ { \circ } , \mathrm { b } = 7 \sqrt { 3 }$ 
A)  $\mathrm { B } = 60 ^ { \circ } , \mathrm { C } = 90 ^ { \circ } , \mathrm { b } = 7$ 
B)  no such triangle 
C)  $\mathrm { B } = 60 ^ { \circ } , \mathrm { C } = 90 ^ { \circ } , \mathrm { b } = 7 \sqrt { 3 }$ 
D)  $\mathrm { B } = 90 ^ { \circ } , \mathrm { C } = 60 ^ { \circ } , \mathrm { b } = 7 \sqrt { 3 }$

Question 5

Solve the problem.
-Suppose that a radio signal transmission pattern can be modeled by $\mathrm { r } ^ { 2 } = \mathrm { k } \cos 2 \theta$, for $0 ^ { \circ } \leq \theta \leq 360 ^ { \circ }$, where the units are in miles. Describe the influence of $k$ on the pattern. Assume that the positive $x$-axis points east.

Accepted Answer

A)  With increasing $k$, the transmission becomes more strongly directed toward the north and less strongly directed to the east. 
B)  With increasing $\mathrm { k }$, the distance of transmission becomes smaller in the east and west directions. 
C)  With increasing $k$, the distance of transmission becomes greater in the east and west directions. 
D)  With increasing $\mathrm { k }$, the transmission becomes more strongly directed toward the east and less strongly directed to the west. 
A)  With increasing $k$, the transmission becomes more strongly directed toward the north and less strongly directed to the east. 
B)  With increasing $\mathrm { k }$, the distance of transmission becomes smaller in the east and west directions. 
C)  With increasing $k$, the distance of transmission becomes greater in the east and west directions. 
D)  With increasing $\mathrm { k }$, the transmission becomes more strongly directed toward the east and less strongly directed to the west.

Question 6

Sketch the vectors u and w with angle θ between them and sketch the resultant.
-$$| \mathbf { u } | = 8 , | \mathbf { w } | = 3 , \theta = 80 ^ { \circ }$$

Accepted Answer

A) 
  
B) 
  
A) 
  
B)

Question 7

Sketch the vectors u and w with angle θ between them and sketch the resultant.
-$$| \mathbf { u } | = 45 , | \mathbf { w } | = 25 , \theta = 30 ^ { \circ }$$

Accepted Answer

A) 
  
B) 
  
A) 
  
B)

Question 8

Draw a sketch to represent the vector. Refer to the vectors pictured here.  
-$- \mathbf { b }$

Accepted Answer

A)   
B)   
A)   
B)

Question 9

Answer the question.
-If $\mathrm { n }$ is an odd number, then which of the following statements is true?

Accepted Answer

A)  The equation $\mathrm { x } ^ { \mathrm { n } } - 1 = 0$ has $\mathrm { n }$ - 1 roots. 
B)  The equation $x ^ { n } - 1 = 0$ has exactly one real root. 
C)  The equation $\mathrm { x } ^ { \mathrm { n } } - 1 = 0$ has an odd number of nonreal roots. 
D)  The equation $x ^ { n } - 1 = 0$ has an even number of real roots. 
A)  The equation $\mathrm { x } ^ { \mathrm { n } } - 1 = 0$ has $\mathrm { n }$ - 1 roots. 
B)  The equation $x ^ { n } - 1 = 0$ has exactly one real root. 
C)  The equation $\mathrm { x } ^ { \mathrm { n } } - 1 = 0$ has an odd number of nonreal roots. 
D)  The equation $x ^ { n } - 1 = 0$ has an even number of real roots.

Question 10

Find a rectangular equation for the plane curve defined by the parametric equations.
-$$\mathrm { x } = \mathrm { t } + 4 , \mathrm { y } = \mathrm { t } ^ { 2 }$$

Accepted Answer

A)  $y = \sqrt { x } + x + 4$ 
B)  $y = x ^ { 2 } - 8 x + 16$ 
C)  $y = \sqrt { x - 4 }$ 
D)  $y = x ^ { 2 } + 16$ 
A)  $y = \sqrt { x } + x + 4$ 
B)  $y = x ^ { 2 } - 8 x + 16$ 
C)  $y = \sqrt { x - 4 }$ 
D)  $y = x ^ { 2 } + 16$

Question 11

Determine whether there is sufficient information for solving a triangle, with the given combination of angles and sides,
by the law of sines.
-b, C, and B

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Question 12

Find the polar coordinates of the point(s) of intersection of the given curves for 0 ≤ θ < 2π.
-$$\mathrm { r } = 5 , \mathrm { r } = 5 + \sin \theta$$

Accepted Answer

A)  $( 0,5 ) , ( \pi , 5 )$ 
B)  $( 0,0 ) , ( 5,0 ) , ( 5 , \pi )$ 
C)  $( 5,0 ) , ( 5 , \pi )$ 
D)  $( 0,0 ) , ( 0,5 ) , ( \pi , 5 )$ 
A)  $( 0,5 ) , ( \pi , 5 )$ 
B)  $( 0,0 ) , ( 5,0 ) , ( 5 , \pi )$ 
C)  $( 5,0 ) , ( 5 , \pi )$ 
D)  $( 0,0 ) , ( 0,5 ) , ( \pi , 5 )$

Question 13

Write the complex number in rectangular form.
-$$8 \left( \cos \frac { \pi } { 6 } + i \sin \frac { \pi } { 6 } \right)$$

Accepted Answer

A)  $\frac { 1 } { 4 } + \frac { \sqrt { 3 } } { 4 } \mathrm { i }$ 
B)  $4 \sqrt { 3 } + 4 \mathrm { i }$ 
C)  $\frac { \sqrt { 3 } } { 4 } + \frac { 1 } { 4 } \mathrm { i }$ 
D)  $4 + 4 \sqrt { 3 } \mathrm { i }$ 
A)  $\frac { 1 } { 4 } + \frac { \sqrt { 3 } } { 4 } \mathrm { i }$ 
B)  $4 \sqrt { 3 } + 4 \mathrm { i }$ 
C)  $\frac { \sqrt { 3 } } { 4 } + \frac { 1 } { 4 } \mathrm { i }$ 
D)  $4 + 4 \sqrt { 3 } \mathrm { i }$

Question 14

Write the complex number in trigonometric form $$r ( \cos \theta + i \sin \theta )$$ with θ in the interval [0°, 360°).
-$- 6$

Accepted Answer

A)  $6 \left( \cos 270 ^ { \circ } + i \sin 270 ^ { \circ } \right)$ 
B)  $6 \left( \cos 180 ^ { \circ } + i \sin 180 ^ { \circ } \right)$ 
C)  $6 \left( \cos 0 ^ { \circ } + i \sin 0 ^ { \circ } \right)$ 
D)  $6 \left( \cos 90 ^ { \circ } + i \sin 90 ^ { \circ } \right)$ 
A)  $6 \left( \cos 270 ^ { \circ } + i \sin 270 ^ { \circ } \right)$ 
B)  $6 \left( \cos 180 ^ { \circ } + i \sin 180 ^ { \circ } \right)$ 
C)  $6 \left( \cos 0 ^ { \circ } + i \sin 0 ^ { \circ } \right)$ 
D)  $6 \left( \cos 90 ^ { \circ } + i \sin 90 ^ { \circ } \right)$

Question 15

Find sum of the pair of complex numbers.
-$- 6 i , 2 i$

Accepted Answer

A)  $2 - 6 \mathrm { i }$ 
B)  $- 4$ 
C)  $- 6 + 2 i$ 
D)  $- 4 \mathrm { i }$ 
A)  $2 - 6 \mathrm { i }$ 
B)  $- 4$ 
C)  $- 6 + 2 i$ 
D)  $- 4 \mathrm { i }$

Question 16

Solve the problem.
-A ship sailing parallel to shore sights a lighthouse at an angle of $10 ^ { \circ }$ from its direction of travel. After traveling 5 miles farther, the angle is $21 ^ { \circ }$. At that time, how far is the ship from the lighthouse? If necessary, round to the nearest hundredth of a mile.

Accepted Answer

A)  $9.39 \mathrm { mi }$ 
B)  $5 \mathrm { mi }$ 
C)  $2.42 \mathrm { mi }$ 
D)  $4.55 \mathrm { mi }$ 
A)  $9.39 \mathrm { mi }$ 
B)  $5 \mathrm { mi }$ 
C)  $2.42 \mathrm { mi }$ 
D)  $4.55 \mathrm { mi }$

Question 17

Give the rectangular coordinates for the point.
-$$\left( - 3 , \frac { 4 \pi } { 3 } \right)$$

Accepted Answer

A)  $\left( \frac { 3 } { 2 } , \frac { 3 } { 2 } \right)$ 
B)  $\left( - \frac { 3 } { 2 } , - \frac { 3 } { 2 } \right)$ 
C)  $\left( \frac { 3 } { 2 } , \frac { 3 \sqrt { 3 } } { 2 } \right)$ 
D)  $\left( \frac { 3 \sqrt { 3 } } { 2 } , \frac { 3 } { 2 } \right)$ 
A)  $\left( \frac { 3 } { 2 } , \frac { 3 } { 2 } \right)$ 
B)  $\left( - \frac { 3 } { 2 } , - \frac { 3 } { 2 } \right)$ 
C)  $\left( \frac { 3 } { 2 } , \frac { 3 \sqrt { 3 } } { 2 } \right)$ 
D)  $\left( \frac { 3 \sqrt { 3 } } { 2 } , \frac { 3 } { 2 } \right)$

Question 18

Find all specified roots.
-Seventh roots of $i$.

Accepted Answer

A)  $\operatorname { cis } \frac { \pi } { 14 } , \operatorname { cis } \frac { 5 \pi } { 14 } , \operatorname { cis } \frac { 9 \pi } { 14 } , \operatorname { cis } \frac { 13 \pi } { 14 } , \operatorname { cis } \frac { 17 \pi } { 14 } , - \mathrm { i } , \operatorname { cis } \frac { 25 \pi } { 14 }$ 
B)  $\operatorname { cis } \frac { \pi } { 14 } , \operatorname { cis } \frac { 5 \pi } { 14 } , \operatorname { cis } \frac { 9 \pi } { 14 } , \operatorname { cis } \frac { 13 \pi } { 14 } , \operatorname { cis } \frac { 17 \pi } { 14 } , - \mathrm { i } , \operatorname { cis } \frac { 25 \pi } { 14 } , \mathrm { i }$ 
C)  $\operatorname { cis } \frac { \pi } { 7 } , \operatorname { cis } \frac { 5 \pi } { 14 } , \operatorname { cis } \frac { 9 \pi } { 14 } , \operatorname { cis } \frac { 13 \pi } { 14 } , \operatorname { cis } \frac { 17 \pi } { 14 } , - \mathrm { i } , \operatorname { cis } \frac { 25 \pi } { 14 }$ 
D)  $\operatorname { cis } \frac { \pi } { 14 } , \operatorname { cis } \frac { 5 \pi } { 14 } , \operatorname { cis } \frac { 9 \pi } { 14 } , \operatorname { cis } \frac { 13 \pi } { 14 } , \operatorname { cis } \frac { 17 \pi } { 14 } , \mathrm { i } , \operatorname { cis } \frac { 25 \pi } { 14 }$ 
A)  $\operatorname { cis } \frac { \pi } { 14 } , \operatorname { cis } \frac { 5 \pi } { 14 } , \operatorname { cis } \frac { 9 \pi } { 14 } , \operatorname { cis } \frac { 13 \pi } { 14 } , \operatorname { cis } \frac { 17 \pi } { 14 } , - \mathrm { i } , \operatorname { cis } \frac { 25 \pi } { 14 }$ 
B)  $\operatorname { cis } \frac { \pi } { 14 } , \operatorname { cis } \frac { 5 \pi } { 14 } , \operatorname { cis } \frac { 9 \pi } { 14 } , \operatorname { cis } \frac { 13 \pi } { 14 } , \operatorname { cis } \frac { 17 \pi } { 14 } , - \mathrm { i } , \operatorname { cis } \frac { 25 \pi } { 14 } , \mathrm { i }$ 
C)  $\operatorname { cis } \frac { \pi } { 7 } , \operatorname { cis } \frac { 5 \pi } { 14 } , \operatorname { cis } \frac { 9 \pi } { 14 } , \operatorname { cis } \frac { 13 \pi } { 14 } , \operatorname { cis } \frac { 17 \pi } { 14 } , - \mathrm { i } , \operatorname { cis } \frac { 25 \pi } { 14 }$ 
D)  $\operatorname { cis } \frac { \pi } { 14 } , \operatorname { cis } \frac { 5 \pi } { 14 } , \operatorname { cis } \frac { 9 \pi } { 14 } , \operatorname { cis } \frac { 13 \pi } { 14 } , \operatorname { cis } \frac { 17 \pi } { 14 } , \mathrm { i } , \operatorname { cis } \frac { 25 \pi } { 14 }$

Question 19

Find the indicated angle or side. Give an exact answer.
-Find the exact length of side $a$.

Accepted Answer

A)  4 
B)  $4 \sqrt { 3 }$ 
C)  $2 \sqrt { 7 }$ 
D)  $2 \sqrt { 3 }$ 
A)  4 
B)  $4 \sqrt { 3 }$ 
C)  $2 \sqrt { 7 }$ 
D)  $2 \sqrt { 3 }$

Question 20

Find the magnitude and direction angle (to the nearest tenth) for each vector. Give the measure of the direction angle as an angle in [0,360°].
-$$\langle 0 , - 6 \rangle$$

Accepted Answer

A)  $6 ; 90 ^ { \circ }$ 
B)  $36 ; 270 ^ { \circ }$ 
C)  $6 ; 270 ^ { \circ }$ 
D)  $6 ; 180 ^ { \circ }$ 
A)  $6 ; 90 ^ { \circ }$ 
B)  $36 ; 270 ^ { \circ }$ 
C)  $6 ; 270 ^ { \circ }$ 
D)  $6 ; 180 ^ { \circ }$

Answer the question. -If $\mathrm { n }$ is an odd number, then which of the following statements is true?

Write the vector in the form <a, b>. If necessary, round values to the nearest hundredth. -

The rectangular coordinates of a point are given. Express the point in polar coordinates with r ≥ 0 and 0° ≤ θ < 360°. - $( 4 , - 4 )$

Find the missing parts of the triangle. - If necessary, round angles to the nearest degree and give exact values of side lengths.

Sketch the vectors u and w with angle θ between them and sketch the resultant. - $| \mathbf { u } | = 8 , | \mathbf { w } | = 3 , \theta = 80 ^ { \circ }$

Sketch the vectors u and w with angle θ between them and sketch the resultant. - $| \mathbf { u } | = 45 , | \mathbf { w } | = 25 , \theta = 30 ^ { \circ }$

Draw a sketch to represent the vector. Refer to the vectors pictured here. $Draw a sketch to represent the vector. Refer to the vectors pictured here. - - \mathbf { b }$ - $- \mathbf { b }$

Answer the question. -If $\mathrm { n }$ is an odd number, then which of the following statements is true?

Find a rectangular equation for the plane curve defined by the parametric equations. - $\mathrm { x } = \mathrm { t } + 4 , \mathrm { y } = \mathrm { t } ^ { 2 }$

Determine whether there is sufficient information for solving a triangle, with the given combination of angles and sides, by the law of sines. -b, C, and B

Find the polar coordinates of the point(s) of intersection of the given curves for 0 ≤ θ < 2π. - $\mathrm { r } = 5 , \mathrm { r } = 5 + \sin \theta$

Write the complex number in rectangular form. - $8 \left( \cos \frac { \pi } { 6 } + i \sin \frac { \pi } { 6 } \right)$

Write the complex number in trigonometric form $r ( \cos \theta + i \sin \theta )$ with θ in the interval [0°, 360°). - $- 6$

Find sum of the pair of complex numbers. - $- 6 i , 2 i$

Give the rectangular coordinates for the point. - $\left( - 3 , \frac { 4 \pi } { 3 } \right)$

Find all specified roots. -Seventh roots of $i$ .

Find the indicated angle or side. Give an exact answer. -Find the exact length of side $a$ .

Find the magnitude and direction angle (to the nearest tenth) for each vector. Give the measure of the direction angle as an angle in [0,360°]. - $\langle 0 , - 6 \rangle$

Equations and Inequalities

Graphs and Functions

Polynomial and Rational Functions

Inverse, Exponential, and Logarithmic Functions

Trigonometric Functions

The Circular Functions and Their Graphs

Trigonometric Identities and Equations

Systems and Matrices

Analytic Geometry

Further Topics in Algebra

Review of Basic Concepts

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Exam 8: Applications of Trigonometry

Answer the question. -If n\mathrm { n }n is an odd number, then which of the following statements is true?

Write the vector in the form <a, b>. If necessary, round values to the nearest hundredth. -

The rectangular coordinates of a point are given. Express the point in polar coordinates with r ≥ 0 and 0° ≤ θ < 360°. - (4,−4)( 4 , - 4 )(4,−4)

Find the missing parts of the triangle. - If necessary, round angles to the nearest degree and give exact values of side lengths.

Sketch the vectors u and w with angle θ between them and sketch the resultant. - ∣u∣=8,∣w∣=3,θ=80∘| \mathbf { u } | = 8 , | \mathbf { w } | = 3 , \theta = 80 ^ { \circ }∣u∣=8,∣w∣=3,θ=80∘

Sketch the vectors u and w with angle θ between them and sketch the resultant. - ∣u∣=45,∣w∣=25,θ=30∘| \mathbf { u } | = 45 , | \mathbf { w } | = 25 , \theta = 30 ^ { \circ }∣u∣=45,∣w∣=25,θ=30∘

Draw a sketch to represent the vector. Refer to the vectors pictured here. - −b- \mathbf { b }−b

Answer the question. -If n\mathrm { n }n is an odd number, then which of the following statements is true?

Find a rectangular equation for the plane curve defined by the parametric equations. - x=t+4,y=t2\mathrm { x } = \mathrm { t } + 4 , \mathrm { y } = \mathrm { t } ^ { 2 }x=t+4,y=t2

Determine whether there is sufficient information for solving a triangle, with the given combination of angles and sides, by the law of sines. -b, C, and B

Find the polar coordinates of the point(s) of intersection of the given curves for 0 ≤ θ < 2π. - r=5,r=5+sin⁡θ\mathrm { r } = 5 , \mathrm { r } = 5 + \sin \thetar=5,r=5+sinθ

Write the complex number in rectangular form. - 8(cos⁡π6+isin⁡π6)8 \left( \cos \frac { \pi } { 6 } + i \sin \frac { \pi } { 6 } \right)8(cos6π​+isin6π​)

Write the complex number in trigonometric form r(cos⁡θ+isin⁡θ)r ( \cos \theta + i \sin \theta )r(cosθ+isinθ) with θ in the interval [0°, 360°). - −6- 6−6

Find sum of the pair of complex numbers. - −6i,2i- 6 i , 2 i−6i,2i

Give the rectangular coordinates for the point. - (−3,4π3)\left( - 3 , \frac { 4 \pi } { 3 } \right)(−3,34π​)

Find all specified roots. -Seventh roots of iii .

Find the indicated angle or side. Give an exact answer. -Find the exact length of side aaa .

Find the magnitude and direction angle (to the nearest tenth) for each vector. Give the measure of the direction angle as an angle in [0,360°]. - ⟨0,−6⟩\langle 0 , - 6 \rangle⟨0,−6⟩

Equations and Inequalities

Graphs and Functions

Polynomial and Rational Functions

Inverse, Exponential, and Logarithmic Functions

Trigonometric Functions

The Circular Functions and Their Graphs

Trigonometric Identities and Equations

Systems and Matrices

Analytic Geometry

Further Topics in Algebra

Review of Basic Concepts

Filters

Answer the question. -If $\mathrm { n }$ is an odd number, then which of the following statements is true?

The rectangular coordinates of a point are given. Express the point in polar coordinates with r ≥ 0 and 0° ≤ θ < 360°. - $( 4 , - 4 )$

Sketch the vectors u and w with angle θ between them and sketch the resultant. - $| \mathbf { u } | = 8 , | \mathbf { w } | = 3 , \theta = 80 ^ { \circ }$

Sketch the vectors u and w with angle θ between them and sketch the resultant. - $| \mathbf { u } | = 45 , | \mathbf { w } | = 25 , \theta = 30 ^ { \circ }$

Draw a sketch to represent the vector. Refer to the vectors pictured here. $Draw a sketch to represent the vector. Refer to the vectors pictured here. - - \mathbf { b }$ - $- \mathbf { b }$

Answer the question. -If $\mathrm { n }$ is an odd number, then which of the following statements is true?

Find a rectangular equation for the plane curve defined by the parametric equations. - $\mathrm { x } = \mathrm { t } + 4 , \mathrm { y } = \mathrm { t } ^ { 2 }$

Find the polar coordinates of the point(s) of intersection of the given curves for 0 ≤ θ < 2π. - $\mathrm { r } = 5 , \mathrm { r } = 5 + \sin \theta$

Write the complex number in rectangular form. - $8 \left( \cos \frac { \pi } { 6 } + i \sin \frac { \pi } { 6 } \right)$

Write the complex number in trigonometric form $r ( \cos \theta + i \sin \theta )$ with θ in the interval [0°, 360°). - $- 6$

Find sum of the pair of complex numbers. - $- 6 i , 2 i$

Give the rectangular coordinates for the point. - $\left( - 3 , \frac { 4 \pi } { 3 } \right)$

Find all specified roots. -Seventh roots of $i$ .

Find the indicated angle or side. Give an exact answer. -Find the exact length of side $a$ .

Find the magnitude and direction angle (to the nearest tenth) for each vector. Give the measure of the direction angle as an angle in [0,360°]. - $\langle 0 , - 6 \rangle$