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Quiz #3: Dot and Cross Products

Total questions: 10

Worksheet time: 10mins

Name
Class
Date
1.

The two kinds of Vector Multiplication are the ______ and ______ product (choose all that apply!)

a)

Scalar, Vector

b)

Dot, Cross

c)

Magnitude, Direction

d)

Distance, Displacement

2.

Work done by a force is greatest when

a)

Force and Displacement are parallel

b)

Force and Displacement are antiparallel (opposite direction)

c)

Force and Displacement are perpendicular

d)

Force and Displacement make a 45 degree angle

3.

The result of a dot product multiplication is

a)

A vector

b)

A scalar

4.

The result of vector multiplication is

a)

A vector

b)

A scalar

5.

Is vector multiplication commutative (ie order doesn't matter)?

a)

Yes, both

b)

No, neither

c)

Yes, Dot product only

d)

Yes, Cross product only

6.

If they pull with a force of 200N for 10m, about how much work do they do?

a)

1700 J

b)

1800 J

c)

1900 J

d)

2000 J

7.

You pull your friend on a sled for 15 m at the angle provided and do 2600 J of work. What force did you exert?

a)

150

b)

175

c)

200

d)

225

8.
A wrench is used to tighten a nut. A 15N perpendicular force is applied 50cm away from the axis of rotation, and moves a distance of 10 cm as it turns. What is the torque applied to the wrench?
a)
7.5 Nm
b)
1.5 Nm
c)
750 Nm
d)
150 Nm
9.
Torque is the product of a force exerted on an object times the lever arm.
a)
True 
b)
False
10.
You apply force to a wrench to tighten a bolt. The wrench breaks in half. Select the best answer for what happens next. Assume the force applied remains constant.
a)
The torque is now half of what it was, because torque and distance are inversely proportional
b)
The torque is now half of what it was, because torque and distance are directly proportional
c)
The torque is now double of what it was, because torque and distance are inversely proportional
d)
The torque is now double of what it was, because torque and distance are directly proportional