Two vectors (`veca` and `vecb`) have equal magnitudes of 12 units. These vectors are making angles `30^(@)` and `120^(@)` with the x-axis respectively. Their sum is `vec r` .Then the x and y components of r are

Let a vector r make angles 60^(@), 30^(@) with X and Y -axis, respectively. What angle does r mark the Z-axis?

Let a vector r make angles 60^(@), 30^(@) with X and Y -axis, respectively. What are the direction cosines of r ?

If a vector vecA makes angles 45^(@) and 60^(@) with x and y axis respectively then the angle made by it with z-axis is

Let a vector bar(r) make angle 60^(@), 30^(@) with x and y-axes respectively. What angle does bar(r) make with z-axis ?

The two vectors veca and vecb have equal magnitudes of 10.0 m and the angles are theta_(1) = 30^(@) and theta _(2) = 105 ^(@). Find the (a ) x and (b) y components of their vector sum vecr, (c ) the magnitude oof vecr makes with the positive direction of the x axis.

Find a vector vec r of magnitude 3sqrt(3) units which makes an angle of (pi)/(4) and (pi)/(2) with y and z- axis respectively.

Find a vector vec r of magnitude 3sqrt(2) units which makes an angle of (pi)/(4) and (pi)/(2) with y and z-axis respectively.

If vec a and vec b are unit vectors inclined to x-axos at angle 30^(@) and 120^(@) then |vec a+vec b|