Question

Vector A makes equal angles with x,y and z axis valie of its component in terms of magnitude of A will be

Answer 1

Answer:

The component of X axis is A / $\sqrt{3}$,  Y axis is A / $\sqrt{3}$,  Z axis is  A / $\sqrt{3}$ .

Explanation:

We know that,

$cos^{2} \alpha +cos^{2} \beta+cos^{2} \zeta$ = 1

But we also know that,

$\alpha =\beta =\zeta$

Therefore,

$3$ $cos^{2} \alpha$ $=1$

We can conclude that,

$cos \alpha +cos\beta+cos \zeta$ = $\frac{1}{\sqrt{3}}$

Therefore we can conclude that

The component of

X axis is  $\frac{A}{\sqrt{3}}$

Y axis is  $\frac{A}{\sqrt{3}}$

Z axis is  $\frac{A}{\sqrt{3}}$

Hope it helps you!