Trigonometry Examples

$(1, - 3) \cdot (- 2, 6)$

Step 1

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

$1 \cdot - 2 - 3 \cdot 6$

Step 2

Simplify.

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Step 2.1

Simplify each term.

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Step 2.1.1

Multiply $- 2$ by $1$ .

$- 2 - 3 \cdot 6$

Step 2.1.2

Multiply $- 3$ by $6$ .

$- 2 - 18$

Step 2.2

Subtract $18$ from $- 2$ .

$- 20$