Write the sum of intercepts cut off by the plane on the three axes.

Find the coordinates of the foot of perpendicular drawn from the point A
(-1,8,4) to the line joining the points B(0,-1,3) and C(2,-3,-1). Hence find the image of the point A in the line BC.

Find the equation of the plane which contains the line of intersection of the planes


and whose intercept on the x-axis is equal to that of on y-axis.

Find the distance of a point (2, 5, −3) from the plane 

309.

Find x such that the four points A(4, 1, 2), B(5, x, 6) , C(5, 1, -1) and D(7, 4, 0) are coplanar.

A line passing through the point A with position vector  is parallel to the vector  Find the length of the perpendicular drawn on this line from a point p with vector