Show that if ~w is orthogonal to ~u and ~v, then ~w is orthogonal to every vector ~x in span{~u, ~v}.

Explanation:

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 .

I hope that helped you!

i think it might be a but you might want a second opinion

a is 8.b is 10.c is 10.5. d is -.5

step-by-step explanation:

just minus the smallest number from the biggest.