Question

Find the intersection point (if any) of the lines r1(t)=(−16,−30,31)+t(−2,−6,5) and r2(s)=(−84,−34,21)+s(8,4,−2). Please show full working...

Find the intersection point (if any) of the lines r1(t)=(−16,−30,31)+t(−2,−6,5) and r2(s)=(−84,−34,21)+s(8,4,−2).

Please show full working and all steps to help me learn.

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Homework Answers

Answer #1

we have two lines as

to find the point of intersection we equate x and y components of both lines , that is

equating x components

equating y components

solving both equation to find value for s or t ,

giving t = -6 in line 1 , we get

  

  

so we get a point of intersection as (-4,6,1)

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