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

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SUMMARY

The discussion focuses on finding a vector in the opposite direction of vector PQ with double its length. The vector PQ is defined as PQ = [-9, 6, 0, 2], and its length is calculated to be 11. To obtain the desired vector, participants confirm that multiplying PQ by -2 yields the correct result, emphasizing that calculating the length was unnecessary for this specific problem.

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dylanhouse
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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?
 
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hi dylanhouse! :smile:
dylanhouse said:
I found the length of PQ to be 11. To answer the question, do I just multiply the vector PQ by -2?

yup! :biggrin:

it's that simple! :wink:

(oh, and you didn't need to find the length at all … but i expect you spotted that)
 
Thanks so much! I had first used a unit vector but that didn't work out!
 

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