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Let a and B Be Vectors Such That a| \mathbf { a } |

Question 198

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Let a and b be vectors such that a| \mathbf { a } | = 2 and b| \mathbf { b } | = 3. Assume that the angle between a and b is π3\frac { \pi } { 3 } . Find (2a+3b)×(a+4b)| ( 2 \mathbf { a } + 3 \mathbf { b } ) \times ( \mathbf { a } + 4 \mathbf { b } ) | .

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