- #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)**

## 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.