Categories > vectors-m > Modulus of vector > If $\mathbf{a}, \mathbf{b}, \mathbf{c}$, are three non-coplanar vectors such that $\mathbf{a}+\mathbf{b}+\mathbf{c}=\alpha \,\mathbf{d}$ and $\mathbf{b}+\mathbf{c}+\mathbf{d}=\beta \,\mathbf{a},$ then $\mathbf{a}+\mathbf{b}+\mathbf{c}+\mathbf{d}$ is equal to

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Question: If $\mathbf{a}, \mathbf{b}, \mathbf{c}$, are three non-coplanar vectors such that $\mathbf{a}+\mathbf{b}+\mathbf{c}=\alpha \,\mathbf{d}$ and $\mathbf{b}+\mathbf{c}+\mathbf{d}=\beta \,\mathbf{a},$ then $\mathbf{a}+\mathbf{b}+\mathbf{c}+\mathbf{d}$ is equal to


1) 0
2) $\alpha \text{ }\mathbf{a}$
3) $\beta \text{ }\mathbf{b}$
4) $(\alpha +\beta )\,\mathbf{c}$
Solution: Explanation: No Explanation
Modulus of vector Algebra of vectors

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