is ortogonal to a vector if, and only if, the scalar product Hence, it should be

The scalar product is linear, so it takes constants and sums out. If is a vector spanned by and lets say for certain complex (or real) values a and b, then we have

Because both and are equal to 0. That proves that , an arbitrary element in is perpendicular to .

## Answers ( )

Explanation:is ortogonal to a vector if, and only if, the

scalar productHence, it should beThe scalar product is

linear, so it takes constants and sums out. If is a vector spanned by and lets say for certain complex (or real) values a and b, then we haveBecause both and are equal to 0. That proves that , an arbitrary element in is perpendicular to .

I hope that helped you!