Question

vactor A is making equal angle with x,y,z axis. value of its componants (in terms of magnitude of vactor A) will be

Answer 1

Let us consider that the magnitude if the vector A is A.
If the vector is making equal angles with the x, y and z axis, then it means that it makes an angle of 45 degrees with all of them.thus the value of its component would be:
Vector A = A cos45 i+ A cos45  j + A cos45 k

Vector A = A \ $\sqrt{2}$ i+ A  \ $\sqrt{2}$ j + A \ $\sqrt{2}$ k

Answer 2

Answer:

A/√3

Explanation:

let the components of a bar makes angle alpha,beta and gamma with x,y and z Axis respectively

Then alpha = Beta=Gamma

Cos^2 Alpha+cos^2 beta

+Cos^2 gama

3cos^2alpha =1

Cos alpha =1/√3

So,

Ax=Ay=AzAcos Alpha

= A/√3