vectors-m

Question: If $\mathbf{d}=\lambda \,(\mathbf{a}\times \mathbf{b})+\mu \,(\mathbf{b}\times \mathbf{c})+\nu \,(\mathbf{c}\times \mathbf{a})$and $[\mathbf{a}\,\mathbf{b}\,\mathbf{c}]=\frac{1}{8},$ then $\lambda +\mu +\nu $ is equal to



1) $8\mathbf{d}\,.\,(\mathbf{a}+\mathbf{b}+\mathbf{c})$
2) $8\mathbf{d}\,\times \,(\mathbf{a}+\mathbf{b}+\mathbf{c})$
3) $\frac{\mathbf{d}\,}{8}.\,(\mathbf{a}+\mathbf{b}+\mathbf{c})$
4) $\frac{\mathbf{d}\,}{8}\times \,(\mathbf{a}+\mathbf{b}+\mathbf{c})$
Solution: Explanation: No Explanation
Scalar Product Dot Product

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