Duplicate of MCV4U Final Exam Review

Question 1

The cross product of (1,1,0) and (1,0,1) is

Accepted Answer

(1, -1, -1)

Question 2

Dot product is also referred to as _____, and the cross product is also referred to as ____.

Accepted Answer

scalar product, vector product

Question 3

When two normals have a dot product equal to zero, the planes are ______?

Accepted Answer

perpendicular

Question 4

Given A(2,2,1) and B(5,4,3), then vector AB is ?

Accepted Answer

AB = (3, 2, 2)

Question 5

Given the planes x + y - 2z + 4 = 0 and -2x -2y +4z -8 = 0, these planes ?

Accepted Answer

coincident

Question 6

Given the following symmetric equation, state the parametric equation for the y component?

Accepted Answer

y = 2+5t

Question 7

Determine the |(2,-1, 3)| (magnitude)

Accepted Answer

√14

Question 8

What is the direction vector of the vector equation r = (3,0,1) + t (-2,1,5)

Accepted Answer

(-2,1,5)

Question 9

The normal of the plane given the Cartesian Equation 2x -3y +7z = -4

Accepted Answer

(2,-3,7)

Question 10

Determine the dot product of (2,0,3) and (1,4,0) ?

Accepted Answer

2

Question 11

Given the planes x + y - 2z + 4 = 0 and -2x -2y +4z + 8 = 0, these planes ?

Accepted Answer

parallel

Question 12

The vector (4,-1,0) exists in what plane ?

Accepted Answer

xy- plane

Question 13

Given the following system, the two sets of intersecting lines are ?

Accepted Answer

parallel

Questions 13