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Consider three vectors A=hati +hatj-2hat...

Consider three vectors `A=hati +hatj-2hatk`,
`B=hati +hatj+2hatk and C= 2hati -3hatj +4hatk` A vector X of the from `alphaA +betaB (alpha and beta"are numbers")` is perpendicular to C .The ratio of `alpha and beta` is

A

`1:1`

B

`2:1`

C

`-1:1`

D

`3:1`

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The correct Answer is:
A
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