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What is the angle between x-axis and a f...

What is the angle between x-axis and a force represented by `vec(F) = 2hat(i) + 3hat(j) + 4hat(k)` ?

A

`cos^(-1)(3/sqrt(29))`

B

`cos^(-1)(3/sqrt(29))`4

C

`cos^(-1)(5/sqrt(29))`

D

`cos^(-1)(2/sqrt(29))`

Text Solution

Verified by Experts

The correct Answer is:
D
`costheta=sqrt(F_(x))/sqrt(F_(x)^(2) + F_(y)^(2) + F_(z)^(2))=2/sqrt(4 + 9 + 16)=2/sqrt(29)`
`theta=cos^(-1)(2/sqrt(29))`
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MODERN PUBLICATION-DESCRIPTION OF MOTION IN TWO AND THREE DIMENSION-Revision TEST
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