A space vector makes the angles 150^ and 60^ with the positive direction of x -and y -axes. The angle made by the vector with the positive direction z -axis is

Step-by-step solution

We know that, the condition when a space vector makes the angles , and with the positive direction of x , y and z -axes respectively is ² + ² + ² =1 Given that, =150^ , =60^ , = ? From Eq (i), ² 150^ + ² 60^ + ² =1 ( ² 60^ + ² 60^ )+ ² =11+ ² =1 ² =0 =0= 90^ =90^