Answer :

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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