# Linear Algebra Examples

Step 1

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

Step 2

Step 2.1

Simplify each term.

Step 2.1.1

Multiply by .

Step 2.1.2

Multiply by .

Step 2.1.3

Multiply by .

Step 2.2

Subtract from .

Step 2.3

Add and .