$\"\"$

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The vector are $\"\"$ and $\"\"$ .

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Definition of cross product :

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The cross product of $\"\"$ and $\"\"$ , then

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$\"\"$

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Find $\"\"$ .

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$\"\"$

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$\"\"$ .

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The component form of $\"\"$ is $\"\"$ .

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$\"\"$

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Consider $\"\"$ .

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$\"\"$

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The dot product of $\"\"$ and $\"\"$ is 0.

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So $\"\"$ is orthogonal to $\"\"$ .

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Consider $\"\"$ .

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$\"\"$

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The dot product of $\"\"$ and $\"\"$ is 0.

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So $\"\"$ is orthogonal to $\"\"$ .

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Therefore, $\"\"$ is orthogonal to both $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$ .

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$\"\"$ is orthogonal to both $\"\"$ and $\"\"$ .