If  a line in the space makes angle with the coordinate axes, then

equals

A line AB in three-dimensional space makes angles 45^o and 120^o with the positive x-axis and the positive y-axis respectively. If AB makes an acute angle θ with the positive z-axis, then θ equals

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)

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

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

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

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

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