Prefixes change the orderofmagnitude of a quantity. Some examples of prefixes are:
P - 1015
T -1012
G -109
M -106
K - 103
d - 10−1
c - 10−2
m -10−3
μ - 10−6
n - 10−9
p - 10−12
f - 10−15
Units for a quantity can be derived using equations and otherunits.
A scalar quantity has magnitude only, while a vector quantity has both direction and magnitude.
Quantities can only be summed when they have the same units, but they can be multiplied when they have different units.
A vector is represented with an arrow.
If two vectors are parallel, the resultantvector is their sum.
When two vectors act on the same plane but in opposite directions, the resultantvector is their sum, provided a negative direction is defined.
The resultant vector from two perpendicular vectors can be found using Pythagoras’ theorem and trigonometry. Draw the vectors in a triangle, with one vector leading to the next.
A vector can be resolved into its horizontal and verticalcomponents using trigonometry.
When adding non-perpendicular vectors, you can use a scale diagram or trigonometricrules.
To subtract one vector from another, reverse the direction of the vector and add the vectors together.