Mathematics

Mathematics

Problem

If the volume of parallelopiped formed by the vectors a,b,c\mathbf{a}, \mathbf{b}, \mathbf{c} as three coterminous edges is 27 cu units, then the volume of the parallelopiped have α=a+2b−c\alpha = \mathbf{a} + 2\mathbf{b} - \mathbf{c}, β=a−b\beta = \mathbf{a} - \mathbf{b} and γ=a−b−c\gamma = \mathbf{a} - \mathbf{b} - \mathbf{c} as three coterminous edges is a. 27 b. 9 c. 81 d. None of these

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