$\"\"$

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The two vectors $\"\"$ are two non zero vectors.

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Show that $\"\"$ and $\"\"$ are orthogonal.

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Consider $\"\"$ and $\"\"$ .

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

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$\"\"$

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The dot product of the two vectors $\"\"$ and $\"\"$ is $\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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The magnitude of the vector $\"\"$ is $\"\"$ .

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Substitute $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$

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Therefore, $\"\"$ and $\"\"$ are orthogonal.

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$\"\"$

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$\"\"$ and $\"\"$ are orthogonal.