How to tell if two functions are orthogonal

The weighted inner product is 0, the two functions are orthogonal. Two functions are orthogonal with respect to a weighted inner product if the integral of the product of the two functions and the weight function is identically zero on the chosen interval.

1. How do you determine if a set of functions is orthogonal?
2. What does it mean when a function is orthogonal?
3. What are the conditions for orthogonality?

How do you determine if a set of functions is orthogonal?

We say that 2 vectors are orthogonal if they are perpendicular to each other. i.e. the dot product of the two vectors is zero. Definition. We say that a set of vectors v1, v2, ..., vn are mutually or- thogonal if every pair of vectors is orthogonal.

What does it mean when a function is orthogonal?

: two mathematical functions such that with suitable limits the definite integral of their product is zero.

What are the conditions for orthogonality?

Condition of Orthogonality of Circles

Two curves are said to be orthogonal if their angle of intersection is a right angle i.e the tangents at their point of intersection are perpendicular.