Question
Asked Jan 26, 2020
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Find the point of intersection of the lines x = t, y = -t + 2, z = t + 1, and x = 2s + 2, y = s + 3, z = 5s + 6, and then find the plane determined by these lines.

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Expert Answer

Step 1

Given lines are  x = t, y = -t + 2, z = t + 1, and x = 2s + 2, y = s + 3, z = 5s + 6

Set the x and y ordinates equal to find s and t.

Calculus homework question answer, step 1, image 1
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Step 2

Plug t= 2s+2 in -t+2=s+3 and solve for s. Then find t

Calculus homework question answer, step 2, image 1
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Step 3

Plug t=0 in x = t, y = -t + 2, z = t + 1 to ...

Calculus homework question answer, step 3, image 1
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