University of Central Florida

### Question Description

I’m trying to learn for my Mathematics class and I’m stuck. Can you help?

# solving an easy assignment for linear algebra

# solving an easy assignment for linear algebra

### Unformatted Attachment Preview

## Final Answer

Hey there, hope you're doing great 😄 Attached is the file. Please note that there are two items in which the questions or thought of the questions is unclear. Let me know the correct directions and I'll get back to you as soon as I can. Thank you so much!

Answer: a. (2, -3) b. (-1, 6, 1)

Solution:

Answer: Two vectors are parallel if they are scalar multiples of each other. If v = cw for some

scalar c.

a. t = 1

b. t = 0

c. The vectors are not parallel.

Solution:

a. v – w = (4,0,-8) – (6,-1,-4)

v – w = (4 – -6, 0 – -1, -8 – - 4)

v – w = (-2, 1, -4)

b. 6u + 2v = 6 (-3,1,2) + 2(4,0,-8)

6u + 2v = (-18,6,12) + (8,0,-16)

6u + 2v = (-18 + 8, 6 + 0, 12 + -16)

6u + 2v = (-10, 6, -4)

c. -3(v – 8w) = -3[(4,0,-8) – 8(6, -1, -4)]

-3(v – 8w...