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.**

## We’ll help your grades soar

Start your 48-hour free trial and unlock all the summaries, Q&A, and analyses you need to get better grades now.

- 30,000+ book summaries
- 20% study tools discount
- Ad-free content
- PDF downloads
- 300,000+ answers
- 5-star customer support

Already a member? Log in here.

Are you a teacher? Sign up now