$\"\"$

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Vector equation of a line segment:

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The vector equation of a line segment passing through points with position vectors $\"\"$ and $\"\"$ is $\"\"$ where $\"\"$ .

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$\"\"$

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Find the vector equation of a line segment from $\"\"$ and $\"\"$ .

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

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Substitute the corresponding values in $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ , where $\"\"$ .

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The general form of parametric equation is $\"\"$ .

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Compare the equation with general form.

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The parametric equations are $\"\"$ , $\"\"$ , $\"\"$ , where $\"\"$ .

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$\"\"$

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The parametric equations are $\"\"$ , $\"\"$ , $\"\"$ , where $\"\"$ .