$\"\"$

\

If two vectors are orthogonal to each other, then their dot product is equal to zero.

\

Find a vector orthogonal to the vector $\"\"$ .

\

Let the vectors are $\"\"$ and $\"\"$ .

\

The dot product of $\"\"$ and $\"\"$ is $\"\"$ .

\

$\"\"$

\

$\"\"$

\

Since the vectors $\"\"$ and $\"\"$ are orthogonal to each other, their dot product $\"\"$ .

\

$\"\"$

\

Solve for $\"\"$ .

\

$\"\"$

\

Substitute a value for $\"\"$ and solve for $\"\"$ .

\

A value of $\"\"$ that is divisible by $\"\"$ will produce an integer value for $\"\"$ .

\

Let $\"\"$ , then $\"\"$ .

\

Therefore, the vector orthogonal to $\"\"$ is $\"\"$ .

\

$\"\"$

\

The vector orthogonal to $\"\"$ is $\"\"$ .