The Basics of Vectors and Vector Algebra

Question 1

A plane travels due west at a speed of 900 km/h. Which of the following statements is true about this value?

Accepted Answer

The value is a vector property.

Question 2

A girl walking with a velocity ⟨-3,-3⟩ throws a rock with a velocity ⟨2,4⟩. What is the rock's final velocity?

Accepted Answer

⟨-1,1⟩

Question 3

A rabbit hops 10 meters south, 5 meters east, and 22 meters north. What is the magnitude of the rabbit's displacement?

Accepted Answer

13

Question 4

Momentum is a scalar value.

Accepted Answer

False

Question 5

A vector property has a magnitude and direction.

Accepted Answer

True

Question 6

Use scalar multiplication to find the resultant vector of 2.5 times ⟨2.4,-6⟩.

Accepted Answer

⟨6,-15⟩

Question 7

Which of the following is a scalar quantity?

Accepted Answer

Speed

Question 8

A rabbit hops 10 meters south, 5 meters east, and 22 meters north. What is the total distance the rabbit traveled?

Accepted Answer

37

Question 9

Find the dot product between ⟨1,7⟩ and ⟨2,3⟩.

Accepted Answer

23

Question 10

A rabbit hops 10 meters south, 5 meters east, and 22 meters north. What is the displacement vector of the rabbit?

Accepted Answer

⟨5,12⟩

Question 11

Find the magnitude of the cross product between two vectors with a magnitude of 4 each and an angle between them of 30°.

Accepted Answer

8

Question 12

A vector has a magnitude of 5 and an angle of 36.9° north of the negative x-axis. Which choice describes the vector?

Accepted Answer

⟨-4,3⟩

Questions 12