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

The perpendicular distance of the point (6,5,8) from y-axis is

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

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

equals

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

The vectors of magnitude a , 2a , 3a meet at a point and their directions are along the diagonals of three adjacent faces of a cube. Then, the magnitude of their resultant is

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

A  line makes an obstuse angle with the positive x-axis and angle with the positive y and z-axes respectively.

Its direction cosine are

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