The direction-ratios of the two lines are 5, – 12, 13 and – 3, 4, 5.
Let θ be the angle between the lines.
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 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 vectorÂ
 Find the length of the perpendicular drawn on this line from a point p with vectorÂ