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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

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