# Find the point on

Given: point P(1, 2, 3)

To find: coordinates of the foot of the perpendicular from the point on the y-axis

Formula used:

The distance between any two points (a, b, c) and (m, n, o) is given by, As x and z coordinate on the y-axis is zero

Let point D any point on y-axis be (0, y, 0) PD2 = 10

Distance between P(1, 2, 3) and D(0, y, 0) is PD,    Now,

10 + (2 – y)2 = 10

(2 – y)2 = 10 – 10

(2 – y)2 = 0

2 – y = 0

y = 2

Hence, coordinates of point D are (0, 2, 0)

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