Three Dimension...

If direction cosines of two lines are proportional to (2, 3, -6) and (3, -4, 5), then the angle between them is

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

The ratio in which the line joining (2, 4, 5) , (3, 5, -4) is divided by the YZ-plane, is

The cosines of ∠A of the triangle with vertices A(1, -1, 2), B(6, 11, 2) and C(1, 2, 6) is

If P = (0, 1, 2), Q = (4, -2, 1) and O = (0, 0, 0), then ∠POQ is equal to

If OA is equally inclined to OX, OY and OZ and if A is √3 units from the origin, then A is

A point on X-axis which equidistant from both the points (1, 2, 3) and (3, 5, -2) is

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 direction cosines of the line passing through P(2, 3, -1) and the origin are