Exam 7: Vectors, the Complex Plane, and Polar Coordinates
Exam 1: Functions and Their Graphs137 Questions
Exam 2: Polynomial and Rational Functions141 Questions
Exam 3: Exponential and Logarithmic Functions137 Questions
Exam 4: Trigonometric Functions of Angles261 Questions
Exam 5: Trigonometric Functions of Real Numbers151 Questions
Exam 6: Analytic Trigonometry267 Questions
Exam 7: Vectors, the Complex Plane, and Polar Coordinates225 Questions
Exam 8: Systems of Linear Equations and Inequalities181 Questions
Exam 9: Conics, Systems of Nonlinear Equations and Inequalities, and Parametric Equations230 Questions
Exam 10: Sequences and Series124 Questions
Exam 11: Limits: A Preview to Calculus122 Questions
Exam 12: Review: Equations and Inequalities244 Questions
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Find all complex solutions to the equation.Write answers in rectangular form.


(Short Answer)
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Find the magnitude and direction angle of the vector u.
u = <-3, 4>
(Short Answer)
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Perform the indicated vector operation given u = < 15, 16 > and v = < -3, 17 >.


(Short Answer)
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Find the magnitude of the vector AB.
A = (15, 45) and B = (75, 56)
(Multiple Choice)
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Find the magnitude and direction angle of the vector u.
U = <-4, 1>
(Multiple Choice)
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A force of 613 pounds is acting on an object at an angle of 80 degrees from the horizontal. Another force of 374 pounds is acting at an angle -29 degrees from the horizontal. What is the angle of the resultant force with respect to the force 374 pounds? Round to one decimal place.
(Short Answer)
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Convert the point to exact polar coordinates. Assume 0 2 .

(Multiple Choice)
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Find all nth roots of z. Write answers in polar form and plot roots in complex plane.


(Short Answer)
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How much work does it take to lift 239 pounds vertically 1.1 feet?
(Multiple Choice)
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Find the product, z1z2 in rectangular form.
z1 = 3 [ cos 225° + i sin 225° ] and z2 = 16 [ cos 15° + i sin 15° ]
(Short Answer)
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