Arrows with magnitude and direction — add them, dot them, understand them
A vector has both a magnitude (length) and a direction. On a 2D graph, vectors are arrows from one point to another. The vector \vec{v} = (3, 4) means "go 3 right and 4 up."
You can add vectors tip-to-tail. The dot product tells you how much two vectors point in the same direction — zero when perpendicular.
In this lesson you'll see vectors as labeled segments, add them graphically, compute magnitudes, and explore the dot product.