Examples

$(2, - 6) \cdot (9, 9)$

Step 1

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

$2 \cdot 9 - 6 \cdot 9$

Step 2

Simplify.

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Step 2.1

Simplify each term.

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Step 2.1.1

Multiply $2$ by $9$ .

$18 - 6 \cdot 9$

Step 2.1.2

Multiply $- 6$ by $9$ .

$18 - 54$

Step 2.2

Subtract $54$ from $18$ .

$- 36$

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