$\"\"$ \ \

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If the initial point is $\"\"$ and the terminal point is $\"\"$ , then

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the position vector is $\"\"$

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Area of the parallelogram :

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If u and v are adjacent sides of a parallelogram, then the area of the parallelogram is $\"\"$ .

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$\"\"$

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The points are $\"\"$ and $\"\"$ .

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The position vector is $\"\"$

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Substitute the points $\"\"$ and $\"\"$ in v.

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$\"\"$

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Substitute the points $\"\"$ and $\"\"$ in v.

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$\"\"$

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$\"\"$

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The position vectors $\"\"$ and $\"\"$ are adjacent sides of a parallelogram.

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The area of the parallelogram is $\"\"$

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$\"\"$

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$\"\"$ \ \

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$\"\"$

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The area of the parallelogram is $\"\"$ square units.