$\"\"$

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The magnitudes of vector u and v are $\"\"$ and these direction angles $\"\"$ are respectively.

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$\"\"$ (Write component form of vector u)

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$\"\"$ (Substitute $\"\"$ )

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$\"\"$ (Simplify)

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$\"\"$ (Simplify) $\"\"$

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$\"\"$ (Write component form of vector v)

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$\"\"$ (Substitute $\"\"$ )

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$\"\"$ (Simplify)

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$\"\"$ (Simplify) $\"\"$

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The sum of vectors u and v is $\"\"$ .

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$\"\"$ (Apply sum of vectors: $\"\"$ )

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$\"\"$ (Substitute $\"\"$ )

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$\"\"$ (Simplify) $\"\"$

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The sum of vectors u and v is $\"\"$ .