Categories > vectors-m > Scalar Product > If $\mathbf{a},\mathbf{b}$ and $\mathbf{c}$ are perpendicular to $\mathbf{b}+\mathbf{c},\mathbf{c}+\mathbf{a}$and $\mathbf{a}+\mathbf{b}$ respectively and if $|\mathbf{a}+\mathbf{b}|=6,|\mathbf{b}+\mathbf{c}|=8$ and $|\mathbf{c}+\mathbf{a}|=10$ then $|\mathbf{a}+\mathbf{b}+\mathbf{c}|=$

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Question: If $\mathbf{a},\mathbf{b}$ and $\mathbf{c}$ are perpendicular to $\mathbf{b}+\mathbf{c},\mathbf{c}+\mathbf{a}$and $\mathbf{a}+\mathbf{b}$ respectively and if $|\mathbf{a}+\mathbf{b}|=6,|\mathbf{b}+\mathbf{c}|=8$ and $|\mathbf{c}+\mathbf{a}|=10$ then $|\mathbf{a}+\mathbf{b}+\mathbf{c}|=$


1) $5\sqrt{2}$
2) 50
3) $10\sqrt{2}$
4) 10
Solution: Explanation: No Explanation
Scalar Product Dot Product

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