Question

Find the direction angles of given vector.

Write given vector in the form of equation .

v = i + j

Answer 1

Step 1:

The vector is .

If is a non zero vector, then direction angles are defined as follows.

.

 

Rewrite the vector as .

Here .

Direction angles of the vector are,

.                  (Since )

Step 2:

The magnitude and direction cosine form of a vector   is

, Where .

The magnitude of the vector is .

Substitute and in .

.

Solution:

Direction angles are .

.