Vectors – Calculate multiplications – Exercise 4532

Exercise

Given

$|\vec{n}|=6, |\vec{m}|=4,\angle (\vec{m},\vec{n})=\frac{\pi}{3}$

Calculate

$(3\vec{m}-2\vec{n})\cdot(5\vec{m}-6\vec{n})$

$|(3\vec{m}-2\vec{n})\times (5\vec{m}-6\vec{n})|$

Final Answer

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Solution

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