Question

Find the point p where the line x = 1 + t, y = 2t, z = -3t intersects the plane x + y - z = 0

Answer 1

1)

X = 1+t, y = 2t, z = -3t

2)

X+y-z= 0

 (1+t)+(2t) – (-3t) = 0

 6t +1=0

 6t = -1

 T = -1/2

3)

X=1/2,y= -1, z= 3/2