If u, v are vectors in an inner product space V, then u is orthogonal to v if and only if

.

Name: If u, v are vectors in an inner product space V, then u is orthogonal to v if and only if .
Brand: Quizplus
Rating: 4.8 (41 reviews)

Question

If u, v are vectors in an inner product space V, then u is orthogonal to v if and only if 
  
.

Quizplus · Accepted Answer

This is the definition of orthogonality in an inner product space. If the inner product of two vectors is zero, then they are orthogonal. Conversely, if two vectors are orthogonal, then their inner product is zero.

If U, V Are Vectors in an Inner Product Space