Find the value of k for which the vectors vector x= 0 vector y = 0...
Find the value of k for which the vectors
vector x= 0 vector y = 0
2 and -1
These two vectors are orthogonal
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`
Setting the dot product equal to zero and solving for k gets:
`3k=-2` divide by 3
The value `k=-2/3` makes the vectors orthogonal.