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In a triangle ABC, if $\vec{BC}=\hat{i}-2\hat{j}+2\hat{k}$ and $\vec{CA}=6\hat{i}+3\hat{j}-2\hat{k}$, then the perimeter of the triangle is

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Remember the triangle law of vector addition: for a triangle with vertices A, B, C, the vectors forming a closed loop sum to zero, i.e., $\vec{AB} + \vec{BC} + \vec{CA} = \vec{0}$. This allows you to find one side vector if the other two are known.

Updated On: Apr 1, 2026

$5(2+\sqrt{3})$
$5(2+\sqrt{2})$
$\sqrt{10}(3+\sqrt{10})$
$10(2+\sqrt{5})$

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The Correct Option is B

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In a triangle ABC, if $\vec{BC}=\hat{i}-2\hat{j}+2\hat{k}$ and $\vec{CA}=6\hat{i}+3\hat{j}-2\hat{k}$, then the perimeter of the triangle is

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The Correct Option is B

Solution and Explanation

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