Dot Products of Vectors

Question 1

Find the angle between u = and v = . Round to the nearest tenth of a degree.

Revolt · Accepted Answer

27.0

Question 2

Find the angle between the given vectors to the nearest degree.

Revolt · Accepted Answer

108.4

Question 3

Use the dot product to find when v = .

Revolt · Accepted Answer

25

Question 4

A constant force of F = moves an object along a vector D = , where units are in pounds and feet. Find the work done.

Revolt · Accepted Answer

1054 foot-pounds

Question 5

Find the work done by a force F of 21 pounds acting in the direction in moving an object 7 feet from (0,0) to (7,0).

Revolt · Accepted Answer

54.59 foot-pounds

Question 6

Write the vector u as a sum of two orthogonal vectors, one of which is the vector projection of u onto v, projvuu = , v = a.c.b.d.

Revolt · Accepted Answer

A

Question 7

Find the angle between u = and v = . Round to the nearest tenth of a degree.

Revolt · Accepted Answer

90

Question 8

Write the vector u as a sum of two orthogonal vectors, one of which is the vector projection of u onto v, projvuu = , v = a.c.b.d.

Revolt · Accepted Answer

D

Question 9

Use the dot product to find when v = .a.5c.b.9d.

Revolt · Accepted Answer

D

Question 10

Find a b if a = and b = .a.31c.b.d.-1

Revolt · Accepted Answer

A

Dot Products of Vectors Answers