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Find the angle that the vector A = 2hati...

Find the angle that the vector `A = 2hati+3hatj-hatk` makes with y-axis.

A

`theta=cos^(1)((3)/(sqrt(14)))`

B

`theta=cos^(-1)((3)/(sqrt(4)))`

C

`theta=cos^(-1)((3)/(sqrt(14)))`

D

`theta=cos^(-1)((3)/(sqrt(12)))`

Text Solution

Verified by Experts

The correct Answer is:
C
Accoding to the resolution of the vector
`costheta (A_(y))/(A)=(3)/(sqrt((2)^(2)+(3)^(2)+(-1)^(2)))=(3)/(sqrt(14))`
`theta=cos^(-1)((3)/(sqrt(14)))`
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