Question

Question #5b829

Answer 1

`L : x=z, and 2x+y=3`.

Explanation:

`AA P(x,y,z) in L, x=1-t, y=1+2t, z=1-t, t in RR`.

Clearly, `x=z................(pi_1)`.

Also, `2x=2-2t, y=1+2t rArr 2x+y=3.............(pi_2)`.

Note that, `(pi_1) and (pi_2)` represents planes, and,

`P(x,y,z) in L iff P(x,y,z) in pi_1 and pi_2, i.e., P in pi_1nnpi_2`.

Hence, `L : x=z, and 2x+y=3`.