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7.4 Cross product

Total questions: 10

Worksheet time: 7mins

Name
Class
Date
1.

If   u v = 0u\ \cdot v\ =\ 0 , then  u = 0 u\ =\ 0\   and  v = 0v\ =\ 0 

a)

True 

b)

False

2.

Calculate the cross product of <1, -2, 1> and <2, -1,1>

a)

5

b)

3

c)

< -1, -1, 3>

d)

< -1, 1, 3>

3.
The cross products solution is a vector that is orthogonal to both of the cross products components
a)
True
b)
False
4.

Given parallel vectors u and v. Answer ALL that apply

a)

their scalar product is zero

b)

their scalar product is either 1 or -1

c)

u is a scalar multiple of v

d)

magnitude of u equals the magnitude of v

e)

their cross product is 0

5.

Which vector operation is commutative?

a)

Dot Product

b)

Vector Projection

c)

Scalar Projection

d)

Cross Product

6.
a)

-23i+7j-k

b)

23i+7j-k

c)

-2i+j-7k

d)

-3i+7j-k

7.

What is the answer when you take dot product between two vectors?

a)

a vector

b)

a scalar

c)

a vector and scalar

d)

nothing

8.

The y value of the vector product is ________.

a)

-4

b)

4

c)

8

d)

-8

9.

Given points A(3, 2, -4) and B(2, 1, -1), so the vector AB is

a)

i + 3j -5k

b)

-i -3j +3k

c)

i -j -5k

d)

-i -j +3k

10.

What is the area of the parallelogram spanned by the vectors a=<3,−3,1> and b=<4,9,2>?

a)

56

b)

5705\sqrt{70}

c)

5625\sqrt{62}

d)

454\sqrt{454}