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  • 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)

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)

Answers (1)

We already know that,

On x-axis, y,z= 0

On y-axis, x,z= 0

On z-axis, x,y = 0

Thus, from point P, the feet of perpendiculars will be-

  1. A(3,0,0), 5(0,4,0), C(0,0,2)
  2. A(-5,0,0), B(0,3,0), C(0,0,7)
  3. A(4,0,0), 5(0,-3,0), C(0,0,-5)
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