$\"\"$

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

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Component form of a vector :

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The component form of a vector $\"\"$ with intial point $\"\"$ and terminal point $\"\"$ is

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$\"\"$ .

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

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Substitute $\"\"$ and $\"\"$ in component form.

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$\"\"$

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The component of a vector $\"\"$ is $\"\"$ .

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$\"\"$

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Magnitude of the vector :

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If $\"\"$ is a vector with intial point $\"\"$ and terminal point $\"\"$ , then magnitude of the $\"\"$ is

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$\"\"$ .

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

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Substitute $\"\"$ and $\"\"$ in magnitude formula.

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$\"\"$

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$\"\"$ .

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Magnitude of the vector $\"\"$ is $\"\"$ .

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Hence, the component of a vector $\"\"$ is $\"\"$ and magnitude of the vector $\"\"$ is $\"\"$ .

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The option (F) is the correct choice.

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$\"\"$

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The option (F) is the correct choice.