Q19 of 45 Page 1

Evaluate :

Let

where, f(x) = |x| + |x – 2| + |x – 4|

= [12 – 2] + [8 + 8 – 2 – 4]

= 10 + 10

= 20

Evaluate :

If and are two vectors such that then prove that vector is perpendicular to vector

Find the coordinates of the point, where the line intersects the plane x - y + z - 5 = 0. Also find the angle between the line and the plane.

Find the vector equation of the plane which contains the line of intersection of the planes and and which is perpendicular to the plane