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

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

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

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

If the direction cosines of two lines are such that l + m + n = 0, l² + m²-n² = 0, then the angle between them is

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

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