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adrimare
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1. The problem statement:
The line r=(-8,-6,-1) + s(2,2,1) intersects the xz- and yz-coordinates planes at points A and B, respectively. Determine the length of line segment AB.
I know that for the line, x= -8 + 2s, y= -6 + 2s, and z= -1 + s. I think the normals to the xz- and yz- planes are (0,1,0) and (1,0,0) respectively. Do I just stick the parametric equations of the line into the Cartesian equation of each of the planes to get something or do I have to use different numbers?
The line r=(-8,-6,-1) + s(2,2,1) intersects the xz- and yz-coordinates planes at points A and B, respectively. Determine the length of line segment AB.
Homework Equations
The Attempt at a Solution
I know that for the line, x= -8 + 2s, y= -6 + 2s, and z= -1 + s. I think the normals to the xz- and yz- planes are (0,1,0) and (1,0,0) respectively. Do I just stick the parametric equations of the line into the Cartesian equation of each of the planes to get something or do I have to use different numbers?