Examples

$(- 5, 8) \cdot (2, 4)$

Step 1

The dot product of two vectors is the sum of the products of the their components.

$- 5 \cdot 2 + 8 \cdot 4$

Step 2

Simplify.

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Step 2.1

Simplify each term.

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Step 2.1.1

Multiply $- 5$ by $2$ .

$- 10 + 8 \cdot 4$

Step 2.1.2

Multiply $8$ by $4$ .

$- 10 + 32$

Step 2.2

Add $- 10$ and $32$ .

$22$

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