SOLUTION: find the cross product of the vectors {2,-1,4} and {6,-2,1}.is the resulting vector perpendicular to the given vector?

Question 217161: find the cross product of the vectors {2,-1,4} and {6,-2,1}.is the resulting vector perpendicular to the given vector?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
find the cross product of the vectors {2,-1,4} and {6,-2,1}.is the resulting vector perpendicular to the given vector?
------------
|i j k|
|2-1 4|
|6-2 1|
-----
= i(-1+8)-j(2-24)+k(-4+6)
= 7i + 22j + 2k
----------------
Yes, it's perpendicular to both vectors. It's normal to the plane formed by the 2 vectors.

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