Chapter 12 Review

What type of quantity is produced by the dot product of two vectors?

• scalar
• vector

What type of quantity is produced by the cross product of two vectors?

• scalar

• vector

• 1

• i + j

• 5

Find the angle between vectors <1,3> and <2,-5>.

• 40.24°
• 49.76°
• 139.76°
• 92.57°

Choose all of the vectors that are perpendicular to u=<4,3,1>.

• <-3,4,0>

• <-2,1,4>

• <-1,2,-2>

• <0,1,-3>

Given u=3i+2j-k and v=2i+3k, find proj_vu

Which of the following is not a meaningful expression between vectors

Two vectors, u and v, are parallel if __________.

Write an equation of the plane through the points P(3,2,1), Q(-2,4,5), and R(0,1,3).

Express your answer in the form Ax+By+Cz=D where A=8

Find the distance from the point (1,5,-2) to the plane 3x+2y-z=1. Round to the nearest hundredth.

• 4.09

• 0

• 2.94

• 3.21