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

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

The Line Through the Points (2, 5, 25)and (12, 7 r⃗=2i⃗+5j⃗+25k⃗+t(10i⃗+2j⃗−2k⃗)\vec { r } = 2 \vec { i } + 5 \vec { j } + 25 \vec { k } + t ( 10 \vec { i } + 2 \vec { j } - 2 \vec { k } )r=2i+5j​+25k+t(10i+2j​−2k)

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