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  • Let A, B, C be the feet of perpendiculars from a point P on the xy, yz and zxplanes 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).

Let A, B, C be the feet of perpendiculars from a point P on the xy, yz and zxplanes 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).

Answers (1)

We know that,

On xy-plane, z = 0

On yz-plane, x=0

On zx-plane, y = 0         

Thus, the coordinates from the perpendicular to different planes from the given points are,

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