Determine the vector equation of each line with the same x-intercept as
[x, y, z] = [3, 0, 0] + t[4, -4, 1]
and the same z-intercept as
[x, y, z] = [6, 3, -1] + t[3, 6, -2]

The answer is: [x, y, z] = [0, 0, -3] + t[-3, 0, -3]

Please help! Thanks :)

Question

Determine the vector equation of each line with the same x-intercept as 
[x, y, z] = [3, 0, 0] + t[4, -4, 1] 
and the same z-intercept as 
[x, y, z] = [6, 3, -1] + t[3, 6, -2]

The answer is: [x, y, z] = [0, 0, -3] + t[-3, 0, -3]

Please help! Thanks :)

anonymous · Answer

Its corrected now

ajprincess · Answer

x=3+4t
y=o+4t
z=0+t
For the x-intercept of L1
y=0, z=0.
This happens when t=0.
hence x=3.
The x-intercept of  is: .(3,0,0).
x=6+3t
y=3+6t
z=-1-2t
For the z-intercept of L2
x=0, y=0
0=6+3t
-6=3t
t=-2

ajprincess · Answer

http://www.sosmath.com/CBB/viewtopic.php?t=48215 need to go nw. that link will b of some use.

anonymous · Answer

Thanks anyway :) Bye!