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.

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

The vector projection of a vector 3hat(i)+4hat(k) on y-axis is

The vector projection of a vector 3hat(i)+4hat(k) on y-axis is

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:

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 .

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.

A vector of magnitude 6 units makes equal makes angles from OX-,OY- and OZ -axes. Find the vector.

There are n coplanar vectors each of magnitude m and each vector is inclined to the preceeding vector at an angle 2pi//n . Then the magnitude of their resultant is

Vector vec(A) makes equal angles with x-,y-,and z-axis. Find the value of its components (in terms of magnitude of vec(A) )

Let vecA and vecB be the two vectors of magnitude 10 unit each. If they are inclined to the X-axis at angles 30^@ and 60^@ respectively, find the resultant.