Question

# Given that P (3, 2, -4), Q (5, 4, -6) and R (9, 8, -10) are collinear. Find the ratio in which Q divides PR.

Solution

Let point Q (5, 4, - 6) divides the join of P (3, 2, - 4) and R (9, 8, - 10) in the ratio k : 1.

For point Q, (given)

which give us point Q (5, 4, -6)

Hence, Q divides PR in the ratio internally.

For point Q, (given)

which give us point Q (5, 4, -6)

Hence, Q divides PR in the ratio internally.