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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


(3\vec{m}-2\vec{n})\cdot(5\vec{m}-6\vec{n})=336

|(3\vec{m}-2\vec{n})\times (5\vec{m}-6\vec{n})|=96\sqrt{3}

Solution

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