Find the position vector of the mid point of the vector joining the points P(2, 3, 4) and Q(4, 1, –2).

Show that the vector is equally inclined to the axes OX, OY and OZ.

Find the position vector of a point R which divides the line joining two points P and Q whose position vectors are respectively, in the ratio 2 : 1

(i) internally (ii) externally

Show that the points A, B and C with position vectors, respectively form the vertices of a right angled triangle.

In triangle ABC (Fig 10.18), which of the following is not true:

(a)

(b)

(c)

(d)