Find the projection of u onto v. $\begin{array} { l } \mathbf { u } = \langle - 5 , - 5 \rangle \\ \mathbf { v } = \langle - 5 , - 1 \rangle \end{array}$

A) $\frac { 1 } { 13 } \langle - 75 , - 15 \rangle$ B) $13 \langle - 15 , - 75 \rangle$ C) $\frac { 1 } { 13 } \langle - 5 , - 5 \rangle$ D) $\frac { 13 } { 15 } \langle - 75 , - 15 \rangle$ E) $\frac { 15 } { 13 } \langle - 75 , - 15 \rangle$ A) $\frac { 1 } { 13 } \langle - 75 , - 15 \rangle$ B) $13 \langle - 15 , - 75 \rangle$ C) $\frac { 1 } { 13 } \langle - 5 , - 5 \rangle$ D) $\frac { 13 } { 15 } \langle - 75 , - 15 \rangle$ E) $\frac { 15 } { 13 } \langle - 75 , - 15 \rangle$

Exam 6: Additional Topics In Trigonometery

Find the angle between the vectors u and v if $\mathbf { u } = \langle 3,4 \rangle$ , and $\mathbf { v } = \langle - 1 , - 2 \rangle$ Round answer to two decimal places.

Free

(Multiple Choice)

4.8/5

(41)

Question 1

Correct Answer:

Verified

C

Determine the area of a triangle having the following measurements.Round your answer to two decimal places. A = 129°, b = 8, and c = 11

Free

(Multiple Choice)

4.8/5

(41)

Question 2

Correct Answer:

Verified

A

Given vectors $\mathbf { u } = \langle - 2 , - 3 \rangle$ and $v = \langle 1,3 \rangle$ determine the quantity indicated below. $\mathbf { u } \cdot 2 \mathbf { v }$

Free

(Multiple Choice)

4.9/5

(34)

Question 3

Correct Answer:

Verified

C

Write the complex number shown below in trigonometric form.

(Multiple Choice)

4.9/5

(29)

Question 4

Determine the work done by a crane lifting a 2,800-pound car 7 feet.

(Multiple Choice)

4.9/5

(35)

Question 5

Divide the complex numbers below and leave the result in trigonometric form. $\frac { 5 \left( \cos 100 ^ { \circ } + i \sin 100 ^ { \circ } \right) } { 9 \left( \cos 120 ^ { \circ } + i \sin 120 ^ { \circ } \right) }$

(Multiple Choice)

4.8/5

(37)

Question 6

Find the angle between the vectors u and v if $\mathbf { u } = 3 \mathbf { i } - 2 \mathbf { j }$ and $\mathbf { u } = 3 \mathbf { i } + 2 \mathbf { j }$ Round your answer to two decimal places.

(Multiple Choice)

4.9/5

(35)

Question 7

Perform the operation and leave the result in trigonometric form. $\frac { 2 \left( \cos 70 ^ { \circ } + i \sin 70 ^ { \circ } \right) } { 4 \left( \cos 40 ^ { \circ } + i \sin 40 ^ { \circ } \right) }$

(Multiple Choice)

4.8/5

(38)

Question 8

Find the projection of u onto v. =\langle-5,-5\rangle =\langle-5,-1\rangle

(Multiple Choice)

4.9/5

(44)

Question 9

Find the cube roots of the following complex number.Write each of the roots in standard form. -1

(Multiple Choice)

4.8/5

(26)

Question 10

Determine the area of a triangle having the following measurements.Round your answer to two decimal places. A = 118 $^\circ$ , b = 9 and c = 8.

(Multiple Choice)

4.7/5

(41)

Question 11

Use the formula to find the missing quantity for the given conditions.The formula E=IZ where E represents voltage, I represents current, and Z represents impedance (a measure of opposition to a sinusoidal electric current), is used in electrical engineering.The variable is a complex number. I=8+2i Z=4+3i

(Multiple Choice)

4.9/5

(38)

Question 12

Plot the complex number and find its absolute value. -5 + 2i

(Multiple Choice)

4.9/5

(34)

Question 13

Given that Force 1 = 55 pounds and Force 2 = 130 pounds, find the angle between the forces if the magnitude of the resultant force is 120 pounds.Round your answer to the nearest degree.

(Multiple Choice)

4.8/5

(26)

Question 14

Find the standard form of the complex number.Then represent the complex number graphically. $6 ( \cos 0 + i \sin 0 )$

(Multiple Choice)

4.7/5

(30)

Question 15

Perform the operation and leave the result in trigonometric form. $\frac { \left( \cos 110 ^ { \circ } + i \sin 110 ^ { \circ } \right) } { 2 \left( \cos 50 ^ { \circ } + i \sin 50 ^ { \circ } \right) }$

(Multiple Choice)

4.8/5

(41)

Question 16

Find 2u - 3v. $\mathbf { u } = 4 \mathbf { i } , \mathbf { v } = 5 \mathbf { j }$

(Multiple Choice)

4.8/5

(45)

Question 17

Represent the complex number below graphically. $\sqrt { 3 } + i$ $Represent the complex number below graphically. \sqrt { 3 } + i$

(Multiple Choice)

4.9/5

(30)

Question 18

Find the trigonometric form of the complex number shown below.

(Multiple Choice)

4.9/5

(42)

Question 19

Find the standard form of the complex number shown below.Round answers to two decimal places. $8 \left( \cos 245 ^ { \circ } + i \sin 245 ^ { \circ } \right)$

(Multiple Choice)

4.8/5

(33)

Question 20

Find the angle between the vectors u and v if $\mathbf { u } = \langle 3,4 \rangle$ , and $\mathbf { v } = \langle - 1 , - 2 \rangle$ Round answer to two decimal places.

Determine the area of a triangle having the following measurements.Round your answer to two decimal places. A = 129°, b = 8, and c = 11

Given vectors $\mathbf { u } = \langle - 2 , - 3 \rangle$ and $v = \langle 1,3 \rangle$ determine the quantity indicated below. $\mathbf { u } \cdot 2 \mathbf { v }$

Write the complex number shown below in trigonometric form.

Determine the work done by a crane lifting a 2,800-pound car 7 feet.

Divide the complex numbers below and leave the result in trigonometric form. $\frac { 5 \left( \cos 100 ^ { \circ } + i \sin 100 ^ { \circ } \right) } { 9 \left( \cos 120 ^ { \circ } + i \sin 120 ^ { \circ } \right) }$

Find the angle between the vectors u and v if $\mathbf { u } = 3 \mathbf { i } - 2 \mathbf { j }$ and $\mathbf { u } = 3 \mathbf { i } + 2 \mathbf { j }$ Round your answer to two decimal places.

Perform the operation and leave the result in trigonometric form. $\frac { 2 \left( \cos 70 ^ { \circ } + i \sin 70 ^ { \circ } \right) } { 4 \left( \cos 40 ^ { \circ } + i \sin 40 ^ { \circ } \right) }$

Find the projection of u onto v. =\langle-5,-5\rangle =\langle-5,-1\rangle

Find the cube roots of the following complex number.Write each of the roots in standard form. -1

Determine the area of a triangle having the following measurements.Round your answer to two decimal places. A = 118 $^\circ$ , b = 9 and c = 8.

Plot the complex number and find its absolute value. -5 + 2i

Given that Force 1 = 55 pounds and Force 2 = 130 pounds, find the angle between the forces if the magnitude of the resultant force is 120 pounds.Round your answer to the nearest degree.

Find the standard form of the complex number.Then represent the complex number graphically. $6 ( \cos 0 + i \sin 0 )$

Perform the operation and leave the result in trigonometric form. $\frac { \left( \cos 110 ^ { \circ } + i \sin 110 ^ { \circ } \right) } { 2 \left( \cos 50 ^ { \circ } + i \sin 50 ^ { \circ } \right) }$

Find 2u - 3v. $\mathbf { u } = 4 \mathbf { i } , \mathbf { v } = 5 \mathbf { j }$

Represent the complex number below graphically. $\sqrt { 3 } + i$ $Represent the complex number below graphically. \sqrt { 3 } + i$

Find the trigonometric form of the complex number shown below.

Find the standard form of the complex number shown below.Round answers to two decimal places. $8 \left( \cos 245 ^ { \circ } + i \sin 245 ^ { \circ } \right)$

Functions and Their Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometry

Analytic Trigonometry

Systems Of Equations and Inequalities

Matrices and Determinants

Sequences Series and Probability

Topics In Analytic Geometry

Analytic Geometry In Three Dimensions

Limits and An Introduction To Calculus

Filters

Exam 6: Additional Topics In Trigonometery

Find the angle between the vectors u and v if u=⟨3,4⟩\mathbf { u } = \langle 3,4 \rangleu=⟨3,4⟩ , and v=⟨−1,−2⟩\mathbf { v } = \langle - 1 , - 2 \ranglev=⟨−1,−2⟩ Round answer to two decimal places.

Determine the area of a triangle having the following measurements.Round your answer to two decimal places. A = 129°, b = 8, and c = 11

Given vectors u=⟨−2,−3⟩\mathbf { u } = \langle - 2 , - 3 \rangleu=⟨−2,−3⟩ and v=⟨1,3⟩v = \langle 1,3 \ranglev=⟨1,3⟩ determine the quantity indicated below. u⋅2v\mathbf { u } \cdot 2 \mathbf { v }u⋅2v

Write the complex number shown below in trigonometric form.

Determine the work done by a crane lifting a 2,800-pound car 7 feet.

Find the angle between the vectors u and v if u=3i−2j\mathbf { u } = 3 \mathbf { i } - 2 \mathbf { j }u=3i−2j and u=3i+2j\mathbf { u } = 3 \mathbf { i } + 2 \mathbf { j }u=3i+2j Round your answer to two decimal places.

Find the projection of u onto v. =\langle-5,-5\rangle =\langle-5,-1\rangle

Find the cube roots of the following complex number.Write each of the roots in standard form. -1

Determine the area of a triangle having the following measurements.Round your answer to two decimal places. A = 118 ∘^\circ∘ , b = 9 and c = 8.

Plot the complex number and find its absolute value. -5 + 2i

Given that Force 1 = 55 pounds and Force 2 = 130 pounds, find the angle between the forces if the magnitude of the resultant force is 120 pounds.Round your answer to the nearest degree. ​

Find the standard form of the complex number.Then represent the complex number graphically. 6(cos⁡0+isin⁡0)6 ( \cos 0 + i \sin 0 )6(cos0+isin0)

Find 2u - 3v. u=4i,v=5j\mathbf { u } = 4 \mathbf { i } , \mathbf { v } = 5 \mathbf { j }u=4i,v=5j

Represent the complex number below graphically. 3+i\sqrt { 3 } + i3​+i

Find the trigonometric form of the complex number shown below.

Find the standard form of the complex number shown below.Round answers to two decimal places. 8(cos⁡245∘+isin⁡245∘)8 \left( \cos 245 ^ { \circ } + i \sin 245 ^ { \circ } \right)8(cos245∘+isin245∘)

Functions and Their Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometry

Analytic Trigonometry

Systems Of Equations and Inequalities

Matrices and Determinants

Sequences Series and Probability

Topics In Analytic Geometry

Analytic Geometry In Three Dimensions

Limits and An Introduction To Calculus

Filters

Find the angle between the vectors u and v if $\mathbf { u } = \langle 3,4 \rangle$ , and $\mathbf { v } = \langle - 1 , - 2 \rangle$ Round answer to two decimal places.

Given vectors $\mathbf { u } = \langle - 2 , - 3 \rangle$ and $v = \langle 1,3 \rangle$ determine the quantity indicated below. $\mathbf { u } \cdot 2 \mathbf { v }$

Find the angle between the vectors u and v if $\mathbf { u } = 3 \mathbf { i } - 2 \mathbf { j }$ and $\mathbf { u } = 3 \mathbf { i } + 2 \mathbf { j }$ Round your answer to two decimal places.

Determine the area of a triangle having the following measurements.Round your answer to two decimal places. A = 118 $^\circ$ , b = 9 and c = 8.

Given that Force 1 = 55 pounds and Force 2 = 130 pounds, find the angle between the forces if the magnitude of the resultant force is 120 pounds.Round your answer to the nearest degree.

Find the standard form of the complex number.Then represent the complex number graphically. $6 ( \cos 0 + i \sin 0 )$

Find 2u - 3v. $\mathbf { u } = 4 \mathbf { i } , \mathbf { v } = 5 \mathbf { j }$

Represent the complex number below graphically. $\sqrt { 3 } + i$ $Represent the complex number below graphically. \sqrt { 3 } + i$

Find the standard form of the complex number shown below.Round answers to two decimal places. $8 \left( \cos 245 ^ { \circ } + i \sin 245 ^ { \circ } \right)$