Find a vector in the opposite direction with double the length?

[dylanhouse]

Homework Statement

Find a vector in the opposite direction of PQ that has twice the length of PQ.

Homework Equations

PQ= [-9]
| 6|
| 0|
[ 2]

The Attempt at a Solution

I found the length of PQ to be 11. To answer the question, do I just multiply the vector PQ by -2?

 

[tiny-tim]

hi dylanhouse!

I found the length of PQ to be 11. To answer the question, do I just multiply the vector PQ by -2?

yup! …

it's that simple! ​

(oh, and you didn't need to find the length at all … but i expect you spotted that)

 

[dylanhouse]

Thanks so much! I had first used a unit vector but that didn't work out!