The value of x and y for which vector A=...

The value of x and y for which vector `A= (6hati+xhatj-2hatk)and B=(5hati+6hatj-yhatk)` may be parallel are

A

`x=0,y=(2)/(3)`

B

`x=(36)/(5),y=(5)/(3)`

C

`x=(15)/(3),y=(23)/(3)`

D

`x=(36)/(5),y=(15)/(4)`

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The correct Answer is:

B

(b) For vector to be parallel ,ratio of coefficient should be same .
`implies(6)/(5)=(x)/(6)=(-2)/(-y)impliesx=(36)/(5),y=(10)/(6)=(5)/(3)`

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