MATHEMATICS

Write the vector v in terms of i and j whose magnitude and direction angle θ are given.

= 8, θ = 30°

A. v = -4i + 4j
B. v = 4i + 4j
C. v = 4i + 4j
D. v = 4i + 4j
Question 2 of 20
0.0/ 5.0 Points
Select the representation that does not change the location of the given point. (4, 110°)

A. (4, 470)°
B. (4, 290)°
C. (-4, 200)°
D. (-4, 470)°
Question 3 of 20
0.0/ 5.0 Points
Find the quotient of the complex numbers. Leave answer in polar form.

z1 =

z2 =

A.
B.
C.
D.
Question 4 of 20
0.0/ 5.0 Points
Find the unit vector that has the same direction as the vector v. v = 3i + j

A. u = i + j
B. u = i + j
C. u = 3i + j
D. u = i + j
Question 5 of 20
5.0/ 5.0 Points
Polar coordinates of a point are given. Find the rectangular coordinates of the point.

A. (-1.6, -1.3)
B. (1.6, 1.3)
C. (1.3, 1.6)
D. (-1.3, -1.6)
Question 6 of 20
0.0/ 5.0 Points
Find the work done by a force of 4 pounds acting in the direction of 41° to the horizontal in moving an object 5 feet from (0, 0) to (5, 0).

A. 13.1 ft-lb
B. 16.2 ft-lb
C. 15.1 ft-lb
D. 30.2 ft-lb
Question 7 of 20
0.0/ 5.0 Points
Solve the triangle. Round lengths to the nearest tenth and angle measures to the nearest degree. a = 6, c = 11, B = 109°

A. b = 14.1, A = 24°, C = 47°
B. b = 19.9, A = 22°, C = 49°
C. b = 17, A = 26°, C = 45°
D. no triangle

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