Question

1.Find vectors v*w if vector v = 5 vector i – 4 vector j + 4 vector k and vector w = –6 vector i + 3 vector j – 2 vector k.

2.Find vectors v*w if vector v = -3 vector i – 4 vector j - 8 vector k and vector w = 2 vector i + 6 vector j + 4 vector k.

Answer 1

v*w has no meaning in common notation.
Do you mean v•w or v×w ?

Answer 2

v times w

Answer 3

i assume you mean cross-product

I'll do #1:

vxw =
| i j k|
|5 -4 4 |
|-6 3 -2|
= 32i-28j+26k

You can make things a lot more readable by just saying you're dealing with vectors. Then you can forget about all those words and just write the values, as in my answer.

Answer 4

no i don't mean cross product.

3– 4– 2
–14– 9– 4
5+ 3– 4
–4– 14– 9

these are the possible answers. all with IJK following of course.

Answer 5

In that case, say dot product.
5i-4j+4k • -5i+3j-2k = -25-12-8 = -45

you say you don't mean cross product, but you give vectors for answers.

dot product of two vectors is just a number.

I'm afraid I don't know what operation you are using.