Vectors – Calculate the scalar multiplication of vectors – Exercise 3564

Exercise

The vectors

$\vec{a},\vec{b}$

Create a 120 degree angle. Given that

$|\vec{a}|=3, |\vec{b}|=4$

Calculate

$\vec{a}\cdot \vec{a}$

$\vec{a}\cdot \vec{b}$

${(\vec{a}+ \vec{a})}^2$

$(3\vec{a}+2\vec{b})(\vec{a}+2\vec{b})$

Final Answer

$\vec{a}\cdot \vec{a}=9$

$\vec{a}\cdot \vec{b}=-6$

${(\vec{a}+ \vec{a})}^2=13$

$(3\vec{a}+2\vec{b})(\vec{a}+2\vec{b})=43$

Solution

Coming soon…

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