(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Given two vectors A=9i+1j+9k and B=12i-12j+10k find:

a) Their dot product AB

b) Their cross product AxB

c)The angle between the vectors A and B

d) a vector C that is parallel with A and has the same magnitude as B

e) A vector C that is perpendicular to A and has the same magnitude as B

2. Relevant equations

dot product: AB=AxBx+AyBy+AzBz

3. The attempt at a solution

I got a, b, and c.

a) (9)(12)+(1)(-12)+(9)(10)=186

b) 118i+18j-96k

c) 42 deg.

d and e) I have no idea how to get the vector to be parallel or perpendicular to A with the same magnitude as B. Just want a simple explanation please!

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# Parallel and perpendicular vectors with given magnitude

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