Hi,
I have the following situation: w = px + qy + rz = qi - 5qj - 11pk
where w, x, y and z are vectors and:
x = 4i + 2j - 3k
y = 5i - 3j + 8k
z = -2i - j + 4k
i need to find all the possible values of p, q and r.
I substituted x, y and z in the first equation and compared coefficients of i, j and k and ended up with the following equations:
4p + 4q - 2r = 0
2p + 2q - r = 0
8p + 8q +4r = 0
This implies that one solution is obviously 0 for all the 3 unknowns. I really do not know how to continue from here. i used gaussian elimination and ended up with the following matrix:
(4 4 -2 | 0)
(0 0 0 | 0)
(0 0 8 | 0)
Any help would be greatly appreciated. 10q
I have the following situation: w = px + qy + rz = qi - 5qj - 11pk
where w, x, y and z are vectors and:
x = 4i + 2j - 3k
y = 5i - 3j + 8k
z = -2i - j + 4k
i need to find all the possible values of p, q and r.
I substituted x, y and z in the first equation and compared coefficients of i, j and k and ended up with the following equations:
4p + 4q - 2r = 0
2p + 2q - r = 0
8p + 8q +4r = 0
This implies that one solution is obviously 0 for all the 3 unknowns. I really do not know how to continue from here. i used gaussian elimination and ended up with the following matrix:
(4 4 -2 | 0)
(0 0 0 | 0)
(0 0 8 | 0)
Any help would be greatly appreciated. 10q