Intersect

find the value of k such that the line x-1 = y-2 = z-k and the plane
3 1 5
2x-y-z+10 = 0 intersect only at one pin .

Quote:

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Originally Posted by fastman390

find the value of k such that the line x-1 = y-2 = z-k and the plane
3 1 5
2x-y-z+10 = 0 intersect only at one pin .

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I don't have time for a full solution,but try this

converted the symmetric equations into parametric form and sub into the equation of the plane. see what happens

Good luck.

Quote:

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Originally Posted by fastman390

find the value of k such that the line x-1 = y-2 = z-k and the plane
3 1 5
2x-y-z+10 = 0 intersect only at one pin .

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we have that


setting each equal to t we can get the parametric form.



doing the same for the others gives



plugging these into the equation of the plane gives