MATHEMATICS · Multi-part · CBSE · Mathematics · Introduction to Three-Dimensional Geometry · Introduction to Three-Dimensional Geometry
Problem
Consider the points A(3,4,12), B(7,−1,2) and C(0,6,9) in space. Let S be a sphere of radius 13 units with centre at the origin. Answer the following:
(i) Calculate the distance of each point A, B and C from the origin.
(ii) Using your results from part (i), determine for each point whether it lies inside S, on the surface of S, or outside S. Justify your answers.