SOLUTION: The unit vector perpendicular to vector a`=i-2j+3k and b`=+2i+5j is......

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Question 1086193: The unit vector perpendicular to vector a`=i-2j+3k and b`=+2i+5j is......
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The cross product of the two vectors is perpendicular to both vectors,
A=%28matrix%283%2C3%2C%0D%0Ai%2Cj%2Ck%2C%0D%0A1%2C-2%2C3%2C%0D%0A2%2C5%2C0%29%29
A=%28-2%280%29-3%285%29%29i%2B%283%282%29-0%281%29%29j%2B%281%285%29-2%28-2%29%29k
A=-15i%2B6j%2B9k
Now find the magnitude of A,

To make the unit vector, divide A by its magnitude,


u%5BA%5D=%28sqrt%2838%29%2F38%29%28-5i%2B2j%2B3k%29