Condition for Orthogonal Vectors

Linear Algebra

Inner Products

Easy

What condition characterizes orthogonality of two vectors

x

and

y

Hint 1

Orthogonality is a statement about the inner product between the two vectors.

Hint 2

Recall that the standard inner product of $x$ and $y$ is $x^{T} y$ .

Show worked solution

1. State the definition
Two vectors are orthogonal exactly when their inner product vanishes.
$x^{T} y = 0$

Answer: x^T y = 0

1. State the definition