$\"\"$

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The vector is $\"\"$ .

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Direction cosines for the vector $\"\"$ are $\"\"$ and $\"\"$ .

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

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$\"\"$ .

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Compare the vector with general form.

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Here $\"\"$ , $\"\"$ and $\"\"$ .

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

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The direction cosines are $\"\"$ , $\"\"$ and $\"\"$ .

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$\"\"$

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Direction angles of the vector $\"\"$ are $\"\"$ and $\"\"$ .

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Direction angles of the vector $\"\"$ are $\"\"$ , $\"\"$ and $\"\"$ .

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Therefore, the direction cosines are $\"\"$ .

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The direction angles are $\"\"$ .

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$\"\"$

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The direction cosines are $\"\"$ .

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The direction angles are $\"\"$ .