Show that the points ( 2, 3, 5), (1, 2, 3) and (7, 0, 1) are collinear - Maths - Introduction to Three Dimensional Geometry

Question

Show that the points (–2, 3, 5), (1, 2, 3) and (7, 0,
–1) are collinear

Gopal Mohanty · Accepted Answer

Let points (–2, 3, 5), (1, 2, 3), and (7, 0, –1) be denoted by P, Q, and R respectively Points P, Q, and R are collinear if they lie on a line

Here, PQ + QR

= PR Hence, points P(–2, 3, 5), Q(1, 2, 3), and R(7, 0, –1) are collinear

Show that the points (–2, 3, 5), (1, 2, 3) and (7, 0, –1) are collinear.