Question

P is a point on the line segment joining the points A(3,2,-1) and B(6,2, -2). If x co-ordinate of P is 5, then what is its y co-ordinate?
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Class 12 : 3D Geometry

Answer 1

since there is no change in its y coordinate therefore y coordinate will be 2 only. you can find this by visualisation.

Answer 2

If P is a point on the line segment joining the points A(3,2,-1) and B(6,2, -2). And if x co-ordinate of P is 5, then its y co-ordinate is given by:

1. Let the points (3,2,-1) and (6,2,-2) be represented as (a,b,c) and (d,e,f).

2. The equation of a line in 3D is given by (a,b,c) - t(a-d,b-e,c-f).

3. Hence the equation of Y coordinate of line =2 -t(2-2) =2.