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Question
Find the ratio in which the line segment joining the points (2, 4,5) and (3, −5, 4) is divided by the yz-plane.
Solution
Let the yz - plane divide the line sgement joining the points (2, 4,5) and (3, −5, 4) in m : 1.
Now, we know that on yz-plane the coordinate of x is 0.
\[\therefore \frac{m \times 3 + 1 \times 2}{m + 1} = 0\]
\[ \Rightarrow 3m + 2 = 0\]
\[ \Rightarrow m = - \frac{2}{3}\]
Hence, yz - plane divide the line sgement joining the points (2, 4,5) and (3, −5, 4) in 2 : 3 externally.
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