NDA | Mathematics | 3 D Geometry

Find the equation of the plane passing through the point is foot of the perpendicular drawn from the origin to the plane.

Show that the triangle ABC with vertices A(0, 4, 1), B(2, 3, -1) and C(4, 5, 0) is right angled.

If the straight line is parallel to the plane ax + by + cz + d = 0, then which one of the following is correct?

If a line makes 60° with the positive direction of x-axis, angle  with the positive direction of y-axis and angle  with the positive direction of z-axis, then what is cos² + cos² equal to?

The xy-plane divides the line segment joining the points (–1, 3, 4) and (2, –5, 6)