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  • Find the ratio in which the YZ-plane divides the line segment formed by joining the points (–2, 4, 7) and (3, –5, 8).

3   Find the ratio in which the YZ-plane divides the line segment formed by joining the points (-2, 4, 7) and (3, -5, 8).

Answers (1)

best_answer

Given,

two points A(–2, 4, 7) and B (3, –5, 8)

Let Y-Z plane divide AB in \lambda:1

So, according to the section formula, the point which divides AB in \lambda:1 is 

\left ( \frac{3\lambda-2}{\lambda+1},\frac{-5\lambda +4}{\lambda+1},\frac{8\lambda +7}{\lambda+1} \right )

Since this point is in YZ plane, x coordinate of this point will be zero.

So,

\frac{3\lambda-2}{\lambda+1}=0

{3\lambda-2}=0

\lambda = \frac{2}{3}

Hence, the YZ plane divides Line segment AB in a ratio 2:3.

Posted by

Pankaj Sanodiya

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