Show that uv and (2,-14,2) cannot be orthogonal for any @ real number, where u=(1,7,-1) and v=(@,5,1).
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Question

Show that u×v and (2,-14,2) cannot be orthogonal for any @ real number, where u=(1,7,-1) and v..(@,5,1).

Top Answer

we know this, because orthogonal vectors have a dot-product that is... View the full answer

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sol .
U = ( 1 , 7 , -1 ) , V = ( @ , S , 1 )
NOW
ux V Z
K
7
S
L
= 1 / 7 x 1 - 5 x (-11 ) - j (- ([email protected] )
+ + 1X5 - 7 @)
= ( 7 + 5 )i - 1 ( 1 [email protected] ) + 1([email protected])
= 12 1 - ( 1 + @ ) j + K ( S - [email protected] )
We know...

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