A unit vector of modulus 2 is equally inclined to `x` - and `y` -axes at an angle `pi//3` . Find the length of projection of the vector on the `z` -axis.

Find the vector of magnitude 9 which is equally inclined to the coordinates axes.

Let OP is a ray making angles (pi)/(3) with both x and y axis. The length of the projection of OP on

Let veca, vecb,vecc be unit vectors, equally inclined to each other at an angle theta, (pi/3 lt theta lt pi/2) . If these are the poisitions vector of the vertices of a trinalge and vecg is the position vector of the centroid of the triangle, then:

A vector has component along the X-axis equal to 25 unit and along the Y-axis equl to 60 unit. Find the magnitude and direction of the vector.

If vec n is a vector of magnitude sqrt(3) and is equally inclined with an acute angle with the coordinate axes. Find the vector and Cartesian forms of the equation of a plane which passes through (2, 1, -1) and is normal to vec n .

Find the direction cosines of a vector which is equally inclined to the x-axis, y-axis and z-axis.

A vector v is equally inclined to the X-axis, Y-axis and Z-axis respectively the dirction cosines are

A vector vecr is inclined to x-axis at 45^(@) and y-axis at 60^(@) if |vecr| =8 units. Find vecr.

If the vector OP in XY plane whose magnituce is sqrt(3) makes an angle 60^(@) with Y -axis,the length of the component of the vector in direction of X-axis is