- #1
Damascus Road
- 120
- 0
Hey all,
I'm trying to figure out an example from my Linear Algebra Book:
The question is as follows:
Find the equation of the plane passing through the points P1(1,2,-1), P2(2,3,1) and P3(3,-1,2)
It goes on to say it must satisfy this system, which is fine:
1 + 2b - c + d = 0
2a + 3b + c + d = 0
3a - b + 2c + d = 0
Then it just says, "solving for this system gives [tex]a=\frac{9}{16}t, b=-\frac{1}{16}t, c= \frac{5}{16}t, d=t[/tex] "
To solve this system, would one include the d's in the matrix or leave them out?
What method would you recommend for solving this? (and then I can give it a shot)
Thanks in advance!
I'm trying to figure out an example from my Linear Algebra Book:
The question is as follows:
Find the equation of the plane passing through the points P1(1,2,-1), P2(2,3,1) and P3(3,-1,2)
It goes on to say it must satisfy this system, which is fine:
1 + 2b - c + d = 0
2a + 3b + c + d = 0
3a - b + 2c + d = 0
Then it just says, "solving for this system gives [tex]a=\frac{9}{16}t, b=-\frac{1}{16}t, c= \frac{5}{16}t, d=t[/tex] "
To solve this system, would one include the d's in the matrix or leave them out?
What method would you recommend for solving this? (and then I can give it a shot)
Thanks in advance!