A) \[5\sqrt{2}\]
B) \[\sqrt{2}\]
C) \[4\sqrt{2}\]
D) \[2\]
Correct Answer: A
Solution :
Given, \[\vec{a}\,\,.\,\,\vec{b}\,\,=\,5\sqrt{2}\] \[|\vec{a}|\,\,|\vec{b}\,|\,\,\cos \,\theta =\,5\sqrt{2}\] \[\cos \,\theta =\frac{5\sqrt{2}}{2.5}=\frac{1}{\sqrt{2}}\] \[\theta ={{45}^{o}}\] Now, \[|\vec{a}\times \vec{b}|=|\vec{a}|\,\,|\vec{b}|\,\,\sin \theta \] \[=2.5.\sin \,{{45}^{o}}=\frac{10}{\sqrt{2}}=5\sqrt{2}\]
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