- #1
kiwicounter
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1. Find all vecors in R4 orthogonal to both of the vectors (1,2,1,0) and (2,0,3,1)
a + 2b + c = 0
2a + c + d = 0
d = 4b + c
c = -a -2b
a = 1 b = 0
(1,0,-1,3)
a=0 b = 1
(0,1,-2,-2)
Answer: {(1,0,-1,3),(0,1,-2,-2)}
I'm struggling with this stuff, I got this method here, but cannot find the original thread since joining. Thanks for your time.
Homework Equations
a + 2b + c = 0
2a + c + d = 0
d = 4b + c
c = -a -2b
The Attempt at a Solution
a = 1 b = 0
(1,0,-1,3)
a=0 b = 1
(0,1,-2,-2)
Answer: {(1,0,-1,3),(0,1,-2,-2)}
I'm struggling with this stuff, I got this method here, but cannot find the original thread since joining. Thanks for your time.