Question

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)`

Answer 1

Correct Answer - 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)`