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

Coming soon…

Share with Friends