Vector Product of Four Vectors
Category : JEE Main & Advanced
(1) \[(\mathbf{a}\times \mathbf{b})\,\times (\mathbf{c}\times \mathbf{d})\] is a vector product of four vectors.
It is the cross product of the vectors \[\mathbf{a}\times \mathbf{b}\] and \[\mathbf{c}\times \mathbf{d}\].
(2) \[\mathbf{a}\times \{\mathbf{b}\times (\mathbf{c}\times \mathbf{d})\},\,\{(\mathbf{a}\times \mathbf{b})\times \mathbf{c}\}\times \mathbf{d}\] are also different vector products of four vectors \[\mathbf{a},\,\mathbf{b},\,\mathbf{c}\] and \[\mathbf{d}\].
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