Question

Let vectors A⃗ =(2,1,−4), B⃗ =(−3,0,1), and C⃗ =(−1,−1,2).

Answer 1

ok so?

Answer 2

2B⃗ ⋅3C⃗ ?

Answer 3

2(B⃗ ⋅3C⃗ )

Answer 4

Which of the following can be computed?
Which of the following can be computed?
A⃗ ⋅B⃗ ⋅C⃗
A⃗ ⋅(B⃗ ⋅C⃗ )
A⃗ ⋅(B⃗ +C⃗ )
3⋅A⃗

Answer 5

Express your answer in terms of V1


V⃗ 1⋅V⃗ 1 =

Answer 6

If V⃗ 1 and V⃗ 2 are perpendicular,


V⃗ 1⋅V⃗ 2

Answer 7

A⃗ = ( 2, 1,−4)
B⃗ = (−3, 0, 1)
C⃗ = (−1,−1, 2)

2B⃗ ⋅3C⃗ = 2(−3, 0, 1) ⋅ 3 (−1,−1, 2)
= 6(−3, 0, 1) ⋅ (−1,−1, 2)
= 6 ((-3 ⋅ -1) + (0 ⋅ -1) + (1 ⋅ 2))
=