**Dot Product**

Looks like multiplication, but it’s not

**16.1** Given **v** = <*a*, *b*> and **w** = <*c*, *d*>, explain how to calculate the dot product **v** · **w**.

To calculate the dot product of two vectors, add the product of their *x*-components to the product of their *y*-components.

**v** · **w** = *ac* + *bd*

Even though the dot here looks like multiplication, it stands for the “dot product.”

*Note: In Problems 16.2–16.4,* v = *<1, 4> and* w = *<5, 2>.*

**16.2** Calculate **v** · **w**.

Apply the formula presented in Problem 16.1, which adds the products of the *x*-components and the *y*-components.

*Note: In Problems 16.2–16.4,* v = *<1, 4> and* w = *<5, 2>.*

**16.3** Calculate 3**v** · **w**.

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