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The angle subtended by vector vecA = 4...

The angle subtended by vector `vecA = 4 hati + 3hatj + 12hatk` with the x-axis is :

A

`sin^(-1) (3/13)`

B

`sin^(-1) (4/13)`

C

`cos^(-1) (4/13)`

D

`cos^(-1) (3/13)`

Text Solution

Verified by Experts

The correct Answer is:
C
Let `theta` be the angle which `vecA` makes with x - axis .
Then
`cos theta=4/(sqrt(4^2+3^2+12^2))=4/13, " or " theta= cos^(-1)(4/13)`
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