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If the position vectors of A and B are h...

If the position vectors of A and B are `hati+3hatj-7hatk and 5hati-2hatj+4hatk`, then the direction cosine of AB along Y-axis is

A

`(4)/(sqrt(162))`

B

`-(5)/(sqrt(162))`

C

`-5`

D

11

Text Solution

Verified by Experts

The correct Answer is:
B
`AB=4hati-5hatj+11hatk`
Direction cosine along Y-axis `=(-5)/(sqrt(16+25+121))=(-5)/(sqrt(162))`
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