Question

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.

Answer 1

I assume you know how to find the direction vectors of the two lines.
So make their dot product zero.

Answer 2

ok thanks oobleck

Answer 3

How do you find the direction vectors for the lines?

Answer 4

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

Answer 5

Hi, did you multiply both the vector directions? Or what did you exactly do?