The line joining the points A(2,1,3) and B(-1,2,4) meets YZ and ZX planes at the point C and D respectively. Find the coordinates of C and D
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1
Answer:
Let the YZ plane divide the line segment joining points (−2,4,7) and (3,−5,8) in the ratio k:1.
Hence, by section formula, the coordinates of point of intersection are given by
(
k+1
k(3)−2
,
k+1
k(−5)+4
,
k+1
k(8)+7
)
On the YZ plane, the x-coordinate of any point is zero.
⇒
k+1
3k−2
=0
⇒3k−2=0
⇒k=
3
2
Thus, the YZ plane divides the line segment formed by joining the given points in the ratio 2:3.
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