Cosine of the angle between two diagonals of cube is equal to

If projection of a line on x, y and z-axes are 6,2 and 3 respectively, then direction cosines of the line is

Let A(1,-1,2) and B (2,3,-1) be two points. If a point P divides AB internally in the ratio 2 : 3, then the position vector of P is

If the direction cosines of a line are, then

A straight line which makes an angle of 60^o with each of y and z-axes, this line makes with x-axes at an angle

If P (x,y,z) is a point on the line segment joining Q (2,2,4) and R (3,5,6) such that the projections of OP on the axes are

respectively, then P divides QR in the ratio

Let O be the origin and P be the point at a distance 3 units from origin.If direction ratios of OP are (1,-2,-2) then coordinates of P is given by

The xy - plane divides the line joining the points (-1,3,4) and (2,-5,6)

A point on XOZ-plane divides the join of (5,-3,-2) and (1,2,-2) at

The perimeter of the triangle with vertices at (1,0,0), (0,1,0) and (0,0,1) is