top of page
Vectors
Vectors have magnitude and direction. They are drawn as lines with a directional arrow. You can add vectors by joining them with another line.
​
To subtract them, reverse the direction of the one you want to subtract, then add the other.
Ex: a = (2, 2) b = (3, 3) a-b = (-1,-1)
​
To add vectors, add the x values of each together and the y values of each together. This use these coordinates to make a new vector.
​
Magnitude can be calculated using Pythagoras theorem.
​
Scalars have magnitude but no direction. They are just normal numbers. Vectors can be multiplied by scalars, called scaling, to change the size of the vector.
​
Dot Product

Dot product of a and b:
- 10 x 13 x cos(59.5)
​
Cross Product

Dot
​
bottom of page