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!

answer: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.

step-by-step explanation: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.