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The Line Through the Points (2, 5, 25)and (12, 7 r=2i+5j+25k+t(10i+2j2k)\vec { r } = 2 \vec { i } + 5 \vec { j } + 25 \vec { k } + t ( 10 \vec { i } + 2 \vec { j } - 2 \vec { k } )

question 50

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The line through the points (2, 5, 25)and (12, 7, 23)can be parameterized by r=2i+5j+25k+t(10i+2j2k)\vec { r } = 2 \vec { i } + 5 \vec { j } + 25 \vec { k } + t ( 10 \vec { i } + 2 \vec { j } - 2 \vec { k } ) .
What value of t gives the point (42, 13, 17)?


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