Find the value of k for which the vectors vector x= 0 vector y = 0 -1 0 2 and -1 -3 k These two vectors are orthogonal
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lfryerda
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Any two vectors are orthogonal when the dot product of the two vectors is zero. The dot product is the sum of the components multiplied together. That is:
`x circ y=0(0)-1(0)+2(-1)-3k`
`=-2-3k`
Setting the dot product equal to zero and solving for k gets:
`-2-3k=0` solve
`3k=-2` divide by 3
`k=-2/3`
The value `k=-2/3` makes the vectors orthogonal.
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