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Find the coordinate of the point P where the line through {A}{

Question

Find the coordinate of the point P where the line through $A (3, 4, 5)$ and $B (2, 3, 1)$ crosses the plane passing through three points $L (2, 2, 1), M (3, 0, 1)$ and $N (4, 1, 0)$ . Also, find the ratio in which P divides the line segment $A B$ .

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Olivia Discussed

Find the coordinate of the point P where the line through

A (3, 4, 5)

and

B (2, 3, 1)

crosses the plane passing through three points

L (2, 2, 1), M (3, 0, 1)

and

N (4, 1, 0)

. Also, find the ratio in which P divides the line segment

A B

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Question Text

Find the coordinate of the point P where the line through

A (3, 4, 5)

and

B (2, 3, 1)

crosses the plane passing through three points

L (2, 2, 1), M (3, 0, 1)

and

N (4, 1, 0)

. Also, find the ratio in which P divides the line segment

A B

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