Question:
Let A, B, C be the feet of perpendiculars from a point P on the xy, yz and zx planes respectively. Find the coordinates of A, B, C in each of the following where the point P is
(i) (3, 4, 5)
(ii) (–5, 3, 7)
(iii) (4, – 3, – 5).
Solution:
(i) (3, 4, 5):- A (3, 4, 0), B (0, 4, 5), C (3, 0, 5)
(ii) (–5, 3, 7):- A (−5, 3, 0), B (0, 3, 7), C (−5, 0, 7)
(iii) (4, – 3, – 5):- A (4, −3, 0), B (0, −3, −5), C (4, 0, −5)