Find the numbers x and y such that the point (x,y,1) lies on the line passing through the points (2,5,7) and (0,3,2)
2006-10-02 12:41:00 · 4 answers · asked by Mr. Midget 3 in Science & Mathematics ➔ Mathematics
vector between the points: <-2, -2, -5>
x=-2t
y=3-2t
z=2-5t
z=1=2-5t; t=1/5
x=-2/5
y=13/5
(-2/5, 13/5, 1)
2006-10-02 12:43:38 · answer #1 · answered by need help! 3 · 0⤊ 0⤋
1) find the parametric equations of the line:
direction vector is :(2,2,5)
x = 2 + 2t
y = 5 + 2t
z = 7 + 5t
2)As z must be 1, you have 1= 7 + 5t, then t= -6/5
3) Thus, x = 2+ 2(-6/5) and y = 5 + 2(-6/5)
x = -2/5 and y = 13/5
2006-10-02 12:49:05 · answer #2 · answered by vahucel 6 · 0⤊ 0⤋
-2/5 , 13/5
2006-10-02 12:45:45 · answer #3 · answered by Anonymous · 0⤊ 1⤋
There are more elegant ways, but you could work this out easily with 2-D projections.
Aloha
2006-10-02 12:43:24 · answer #4 · answered by Anonymous · 0⤊ 0⤋