← Cross Product

Practice: Cross Product

10 multiple choice · 4 free response · 1 walkthroughs

Q1.

basic

Compute

⟨ 2, 0, - 1 ⟩ \times ⟨ 0, 3, 0 ⟩

.

Q2.

basic

If

∣ u ∣ = 2, ∣ v ∣ = 5

, and the angle between them is

30°

, then

∣ u \times v ∣

equals

Q3.

basic

u \times v = 0

implies

Q4.

basic

u \times v

is

Q5.

basic

What is

v \times u

if

u \times v = ⟨ 3, - 1, 4 ⟩

?

Q6.

basic

i \times j

equals

Q7.

intermediate

The area of the triangle with vertices

(0, 0, 0), (1, 2, 0), (3, 0, 1)

is

Q8.

basic

Which expression gives a vector perpendicular to both

u

and

v

?

Q9.

basic

True/False:

u \times (v + w) = u \times v + u \times w

.

Q10.

intermediate

True/False: For all

u, v

,

(u \times v) \cdot u = 0

.