Practice: Vectors

10 multiple choice · 4 free response · 1 walkthroughs

Q1.

basic

u = ⟨ 2, - 3, 1 ⟩

and

v = ⟨ 4, 0, - 2 ⟩

, find

2 u - v

Q2.

basic

A vector goes from

P (3, 1)

Q (- 1, 4)

. Its magnitude is

Q3.

basic

Which of the following is a unit vector in the direction of

⟨ 6, 8 ⟩

Q4.

intermediateFinal Review T/F

True/False: For all vectors

u, v

∣ u + v ∣ = ∣ u ∣ + ∣ v ∣

Q5.

basic

v = 2 i - j + 3 k

, then

∣ v ∣

Q6.

intermediateFinal Review #14 style

A box weighs 200 lb and rests on a 25° inclined plane. The component of weight pulling the box down the slope is

Q7.

intermediate

Which vector is parallel to

⟨ 2, - 4, 6 ⟩

Q8.

basic

What is the unit vector in the same direction as

v = ⟨ 1, - 2, 2 ⟩

Q9.

intermediate

Two ropes pull a boat. Rope 1 exerts

F_{1} = ⟨ 80, 0 ⟩

N; rope 2 exerts

F_{2} = ⟨ 60, - 30 ⟩

N. The magnitude of the resultant force is

Q10.

basic

True/False:

v + 0 = v

for every vector

v