The line r= (-8,-6,-1) + s(2,2,1) intersects the xz and yz coordinate planes at the point A and B.
As r= (-8,-6,-1) + s(2,2,1) intersects the xz plane at A, we have y=0
At A, -6 + 2s = 0
=> s = 3
The point A is (-2, 0,...
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The line r= (-8,-6,-1) + s(2,2,1) intersects the xz and yz coordinate planes at the point A and B.
As r= (-8,-6,-1) + s(2,2,1) intersects the xz plane at A, we have y=0
At A, -6 + 2s = 0
=> s = 3
The point A is (-2, 0, 2)
As r= (-8,-6,-1) + s(2,2,1) intersects the yz plane at B, we have x=0
At B, -8 + 2s = 0
=> s = 4
The point B is (0, 2, 3)
The distance between A and B is sqrt[(-2 - 0)^2 + (0 - 2)^2 + (2 - 3)^2]
=> sqrt[4 + 4 + 1]
=> sqrt 9
=> 3
The required length of the line segment AB = 3.