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Question

Mathematics Question on Multiplication of a Vector by a Scalar

Leta=2,b=3 |\vec{a}|=2, |\vec{b}|=3 and the angle between the vectors a\vec{a} and b\vec{b} be π4\frac{π}{4}. Then (a+2b)×(2a3b)2|(\vec{a}+2\vec{b})×(2\vec{a}-3\vec{b})|^2 is equal to

A

441

B

882

C

482

D

841

Answer

882

Explanation

Solution

The correct answer is (B) : 882