Find the values of `x` and `y` for which vectors `A=(6hati+xhatj-2hatk)` and `B(5hati-6hatj-yhatk)` are be parallel

Options

A. `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`

Explanation

(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`