If a vector $\vec{A}$ makes an angles $\alpha$ , $\beta$ and $\gamma$ respectively with the $x$ , $y$ and $z$ axes respectively. Then $sin^{2}\alpha+sin^{2}\beta+sin^{2}\gamma$ is equal to

Question

cdquestions Admin · Accepted Answer

$ cos^{2}\,\alpha+cos^{2}\,\beta+cos^{2}\,\gamma=1$ $\left(1-sin^{2}\,\alpha\right)+\left(1-sin^{2}\beta\right)+\left(1-sin^{2}\gamma\right)=1$ or $sin^{2}\alpha+sin^{2}\beta+sin^{2}\gamma=3-1=2$

Answer

Answer

Answer

Answer

If a vector $\vec{A}$ makes an angles $\alpha$, $\beta$ and $\gamma$ respectively with the $x$, $y$ and $z$ axes respectively. Then $sin^{2}\alpha+sin^{2}\beta+sin^{2}\gamma$ is equal to

The Correct Option is C

Solution and Explanation

Top Questions on Motion in a plane

Notes on Motion in a plane

Concepts Used:

Motion in a Plane

Equations of Plane Motion