Let A, B, C be the feet of perpendiculars from

Question:

Let A, B, C be the feet of perpendiculars from a point P on the x, y, z-axis respectively. Find the coordinates of A, B and C in each of the following where the point P is :

(i) A = (3, 4, 2)

(ii) (–5, 3, 7)

(iii) (4, – 3, – 5)

Solution:

(i) (3, 4, 2):- A (3, 0, 0), B (0, 4, 0), C (0, 0, 2)

(ii) (–5, 3, 7):- A (−5, 0, 0), B (0, 3, 0), C (0, 0, 7)

(iii) (4, – 3, – 5):- A (4, 0, 0), B (0, −3, 0), C (0, 0, −5)

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