In this lesson, we will learn:
How to add, subtract, multiply, and divide vectors
- Graphically (with diagrams)
- Numerically (with math)
Just like scalars, vectors can be added, subtracted, multiplied, and divided:
- When vectors are added, the vector diagram is drawn by tip-to-tail addition. To add and , draw the vector , then starting at the tip of draw . The tail of connects to the tip of .
- Taking the negative of a vector "flips" the vector to point in the opposite direction, while keeping the same magnitude.
- Multiplying or dividing a vector by a positive scalar changes the magnitude of the vector, while keeping the same direction.