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If vecP=hati+2hatj+6hatk, its direction ...

If `vecP=hati+2hatj+6hatk`, its direction cosines are

A

`(1)/(41),(2)/(41)` and `(6)/(41)`

B

`(1)/sqrt(41).(2)/sqrt(41)` and `(6)/sqrt(41)`

C

`(3)/sqrt(41).(8)/sqrt(41)` and `(7)/sqrt(41)`

D

1,2 and 6

Text Solution

Verified by Experts

The correct Answer is:
B

`cos alpha=(A_(x))/(|vecA|), cos beta=(A_(y))/(|vecA|), cos gamma=(A_(z))/(|vecA|)`
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