A line with positive direction cosines p...

A line with positive direction cosines passes through the point `P(2, – 1, 2)` and makes equal angles with the coordinate axes. The line meets the plane `2x + y + z = 9` at point Q. The length of the line segment PQ equals

Similar Questions

Explore conceptually related problems

Find the direction cosines of a line which makes equal angles with the coordinate axes.

Find the equation of a straight line passing through the point (-3,2) and cutting off equal intercepts on the cooredinate axes.

Find the equation of a line which passes through the point (2,3) and which has equal intercepts on the axes.

Find the equation of a line which passes through the point (2,3,4) and which has equal intercepts on the axes.

Find the direction cosines of the line passing through the two points (-2,4,-5) and (1,2,3).

Find the equation of a straight line Passing through (-8, 4) and making equal intercepts on the coordinate axes.

The equation of the straight line passing through the point (4, 3) and making intercepts on the coordinate axes whose sum is -1 is