Long Answer Type
are co-planar, find their common point and the equation of the plane in which way they lie. 
Short Answer TypeDirection-ratios of first line are 2, 2, 1.
Direction-ratios of second line joining the points (3, 1, 4), (7, 2, 12) are 7 – 3, 2 – 1 12 – 4 i.e., 4, 1, 8
Let θ be the angle between the two 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.
Long Answer TypeFind 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.
Short Answer TypeFind 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 
Switch
on the three axes.
