Find the values of `x` and `y` for which vectors `A=(6hati+xhatj-2hatk – InterviewSolution

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1.	Find the values of `x` and `y` for which vectors `A=(6hati+xhatj-2hatk)` and `B(5hati-6hatj-yhatk)` are be parallelA. `x-=0, y=2/3`B. `x=-36/5,y=5/3`C. `x=-15/3, y=23/5`D. `x=36/5, y=15/4`
Answer» (b) Condition for parallel vectors `AxxB=0` `=\|(hati, hatj, hatk),(6, x, -2), (5, -6, y)\|=0` `-hati(-xy-12)-hatj(-6y+10)+hatk(-36-5x)=0` or `xy=-12, +6y=10-36=5ximpliesx=-36/5,y=5/3`

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