A vector `vecr` is inclined at equal angle to the three axes. If the magnitude of ` vecr` is `2sqrt3` find `vecr`

A vector vecr is inclined at equal angles to the three axes. If the magnitude of vecr is 2sqrt3 units, then find the value of vecr .

Find a vector vecr equally inclined to the three axes and whose magnitude is 3 sqrt(3) units.

A vector vecr is equally inclined with the coordinates axes. If the tip of vecr is in the positive octant and |vecr|=6 , then vecr is

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

Two vectors vecA and vecB inclined at an angle theta have a resultant vecR which makes an angle alpha with vecA and angle beta with vecB . Let the magnitudes of the vectors vecA, vecB and vecR be represented by A, B and R respectively. Which of the following relations is not correct ?

The direction cosines of a vector vecr , which is equally inclined to OX, OY and OZ If |vecr| is given, the total number of such vectors is given by

If vecr.veca=vecr.vecb=vecr.vecc=1/2 for some non zero vector vecr and veca,vecb,vecc are non coplanar, then the area of the triangle whose vertices are A(veca),B(vecb) and C(vecc) is

A vectors vecr satisfies the equations vecr xx veca=vecb and vecr*veca=0 . Then

Let veca=-hati-hatk,vecb =-hati + hatj and vecc = i + 2hatj + 3hatk be three given vectors. If vecr is a vector such that vecr xx vecb = vecc xx vecb and vecr.veca =0 then find the value of vecr .vecb .

If a vector vecr of magnitude 3sqrt6 is directed along the bisector of the angle between the vectors veca =7veci-4vecj -4veck and vecb = -2veci- vecj+ 2veck , then vecr is equal to