# 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

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

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

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

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

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

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

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

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

Solution

Coming soon…

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