If the direction ratios of a line are proportional to 1, –3, 2, the its direction cosines are

The equation of the line passing through the points and is

If a line makes angle α, β and γ with the axes respectively, then cos 2α + cos 2β + cos 2γ =

If a line makes angle with x-axis and y-axis respectively, then the angle made by the line with z-axis is

The projections of a line segment on X, Y and Z axes are 12, 4 and 3 respectively. The length and direction cosines of the line segment are