$\"\"$

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

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

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

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

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$\"\"$

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$\"\"$

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

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$\"\"$

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Solve for $\"\"$ .

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$\"\"$ .

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

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

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

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

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$\"\"$

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