The direction cosines of the line which is perpendicular to the lines whose direction cosines are proportional to (1,-1,2) and (2,1,-1) are

The ratio in which yz-plane divides the line segment joining (-3,4,-2) and (2,1,3) is

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

If a line makes angles ,β,Υ and with four diagonals of a   cube, then the value of     is

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

If the direction cosines of a line are, then

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

The distance between the points (1,4,5) and (2,2,3 ) is

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

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