$\"\"$

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The vector points are given by $\"\"$ .

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Find the resultant vector

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$\"\"$

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$\"\"$

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$\"\"$

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

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Let $\"\"$ be the origin and $\"\"$ be the vector point.

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Find the magnitude.

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$\"\"$ (Apply distance formula)

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

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$\"\"$ (Evaluate powers)

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$\"\"$ (Add)

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$\"\"$ (Use a calculator) $\"\"$

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Graph $\"\"$ to determine how to find the direction.Draw a right tringle that has $\"\"$ as

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its hypotenuse and an acute angle at $\"\"$ .

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$\"\"$

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$\"\"$

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

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$\"\"$ (Subtract)

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$\"\"$ (Simplify)

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$\"\"$

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$\"\"$ (Use a calculator)

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The direction of $\"\"$ is $\"\"$ or about $\"\"$ . $\"\"$

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The magnitude of $\"\"$ is about 11.3 and a direction of about $\"\"$ .