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Find the coordinates of the point where...

Find the coordinates of the point where the line through (5, 1, 6) and (3, 4,1) crosses the YZ-plane.

Text Solution

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`vecr=veca+lambda(vecb-veca)`
=`(3+2lambda)hati+(4-2lambda)hatj+(1-5lambda)hatk`
for YZ plane X=0
`3+2lambda=0`
`lambda=-3/2`
`(0,17/2,-13/2)`
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