How to write vector with given magnitude parallel to another vector

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Why did the 3 in the unit vector example turn into 1/3?

jenna
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You explained it really well! Thank you

andreapv
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I have a question when we have find our vector normally we can the dot product with the vector u and should get 0 because this parallel but why we dont get 0

ih
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What if the length of the parallel vector isnt given?

kadwalikadwali
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thank you so much ! i could understand how to solve this problem just by watching once TT

hoshitanikuro