The coordinates of the point where the line through (5, 1, 6) and (3, 4, 1) crosses the YZ plane is

The angle between the vectors with direction ratios are 4, -3, 5 and 3, 4, 5 is

The equation of plane passing through the point i + j + k and parallel to the plane r . (2i – j + 2k) = 5 is

A vector r is equally inclined with the coordinate axes. If the tip of r is in the positive octant and |r| = 6, then r is

The maximum distance between points (3sin θ, 0, 0) and (4cos θ, 0, 0) is

The image of the point P(1, 3, 4) in the plane 2x – y + z = 0 is

The points on the y- axis which are at a distance of 3 units from the point (2, 3, -1) is

If α, β, γ are the angles made by a half ray of a line respectively with positive directions of X-axis Y-axis and Z-axis, then sin² α + sin² β + sin² γ =

If P(x, y, z) is a point on the line segment joining Q(2, 2, 4) and R(3, 5, 6) such that the projections of OP on the axes are 13/5, 19/5, 26/5 respectively, then P divides QR in the ration

In a three dimensional space, the equation 3x – 4y = 0 represents