Find the points where line `(x-1)/2=(y+2)/(-1)=z/1` intersects `x y ,y z and z x` planes.

Explanation

Line meets `xy`-plane where z=0
Hence, from the given equation of line, `(x-1)/(2)=(y+2)/(-1)=(0)/(1)`
`rArr" "x=1 and y=-2`.
`rArr" "` Line meets `xy`-plane at (1, -2, 0).
Line meets `yz`-plane where `x`=0
Hence, from the given equation of line, `(0-1)/(2)=(y+2)/(-1)=(z)/(1)`
`rArr" "z=(-1)/(2) and y=-(3)/(2)`
`rArr" "` Line meets `yz`-plane at `(0, -(3)/(2), (-1)/(2))`
Line meets `zx`-plane where y=0
Hence, from the given equation of line `(x-1)/(2)=(0+2)/(-1)=(z)/(1)`
`rArr" "z=-2, x=-3`
`rArr" "` Line meets `zx`-plane at (-3, 0, -2)