Question

vector A makes equal angles with x,y and z axis. value of its components (in terms of magnitude of vector A will be?

Answer 1

X^2+y^2+z^2=A^2
But here XY and Z are all equal so
3X^2=A^2
X=A/(sqrt(3))
Each component is the value of a divided by the square root of three. This way if you square then and add them up it equals a squared

Answer 2

Answer:

All three components are

$A_x = \frac{A}{\sqrt3}$

$A_y = \frac{A}{\sqrt3}$

$A_z = \frac{A}{\sqrt3}$

Explanation:

As we know that sum of all three components of the vector will give us resultant vector

So here we can say that

$A^2 = A_x^2 + A_y^2 + A_z^2$

since it is given that all three components are of same magnitudes so

$A_x = A_y = A_z$

now we have

$A^2 = 3A_x^2$

so we have

$A_x = A_y = A_z = \frac{A}{\sqrt3}$