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Determine the value of k for which the direction vectors of the lines x-1/k = y-2/2 = z+1/k-1 and x+3/-2 = z/1, y=-1 are perpen...Asked by Anna
Determine the value of k for which the direction vectors of the lines
(x-1)/k = (y-2)/2 = (𝑧+1)/ k+1 and (x+3)/-2 = z, 𝑦 = −1 are perpendicular.
(x-1)/k = (y-2)/2 = (𝑧+1)/ k+1 and (x+3)/-2 = z, 𝑦 = −1 are perpendicular.
Answers
Answered by
oobleck
I assume you know how to find the direction vectors of the two lines.
So make their dot product zero.
So make their dot product zero.
Answered by
Anna
ok thanks oobleck
Answered by
Anna
How do you find the direction vectors for the lines?
Answered by
oobleck
the direction numbers are the denominators, so <k,2,k+1> and <-2,0,1>
So, you want
-2k + 0 + k+1 = 0
k = 1
So, you want
-2k + 0 + k+1 = 0
k = 1
Answered by
Adam
Hi, did you multiply both the vector directions? Or what did you exactly do?
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