Show that the vector is equally inclined with the axes OX, OY and OZ.

Question

Philoid · Accepted Answer

Let r⃗ = î + j + k̂

And, |r⃗ | = √ ((1)² + (1)² + (1)²)

= √ 3

Therefore, The direction cosines of the vector r⃗

Now, let α, β and γ be the angles formed by r⃗ with the positive directions of x, y and z axes.

Then,

We have,

Hence, the given vector is equally inclined to axes OX, OY and OZ.