Quiz #3: Dot and Cross Products

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

• Scalar, Vector

• Dot, Cross

• Magnitude, Direction

• Distance, Displacement

Work done by a force is greatest when

• Force and Displacement are parallel

• Force and Displacement are antiparallel (opposite direction)

• Force and Displacement are perpendicular

• Force and Displacement make a 45 degree angle

The result of a dot product multiplication is

• A vector

• A scalar

The result of vector multiplication is

• A vector

• A scalar

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

• Yes, both

• No, neither

• Yes, Dot product only

• Yes, Cross product only

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

• 1700 J

• 1800 J

• 1900 J

• 2000 J

Tags

NGSS.HS-PS3-1

NGSS.HS-PS3-2

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?

• 150

• 175

• 200

• 225

Tags

NGSS.HS-PS2-1

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?

• 7.5 Nm
• 1.5 Nm
• 750 Nm
• 150 Nm

Tags

NGSS.HS-PS2-1

Torque is the product of a force exerted on an object times the lever arm.

• True 
• False

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.

• The torque is now half of what it was, because torque and distance are inversely proportional
• The torque is now half of what it was, because torque and distance are directly proportional
• The torque is now double of what it was, because torque and distance are inversely proportional
• The torque is now double of what it was, because torque and distance are directly proportional