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Find the ratio in which the YZ-plane div...

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

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Let the `y-z` plane divide the join of P(-2, 4, 7) and Q(3, -5, 8) in the ratio `lamda:1`.
If `((3lamda-2)/(lamda+1), (-5lamda+4)/(lamda+1), (8lamda+7)/(lamda+1))` is in the y-z plane, then its x-coordinate is zero. Therefore,
`" "(3lamda-2)/(lamda+1)=0or 3lamda-2=0`
or `" "lamda=2//3`
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