Three Dimension...

The projection of the line segment joining the points (–1, 0, 3) and (2, 5, 1) on the line whose direction ratios are 6, 2, 3 is

The points (5, – 4, 2), (4, – 3, 1), (7, – 6, 4) and (8, – 7, 5) are the vertices of

If a line makes angles α, β, γ with the co-ordinate axis, then

If a line makes α, β, γ, δ angles with four diagonals of a cube, then cos 2α + cos 2β + cos 2γ + cos 2δ =

The points A(5, – 1, 1); B(7, – 4, 7); C(1, – 6,10) and D(–1, – 3, 4) are vertices of a

The plane XOZ divides the join of (1, – 1, 5) and (2, 3, 4) in the ratio λ : 1, then λ is

If O is the origin and OP = 3 with direction ratios –1, 2, –2, then co-ordinates of P are