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Scalar
Quantity that is fully described by a single number (w/units)
What are examples of scalar things?
money
temperature
volume
density
vectors
requires both a number (magnitude) and a direction to be completely sensible
a single number cannot describe a vector quantity
Examples of vectors
position (10 mi NE of riverside)
velocity (S 60mph)
acceleration
What represents vectors?
arrows
points in both the direction and shows the length ( magnitude)

How could the vector A be written in terms of the two directions NE
(all of the following are vectors) A= Ax+ Ay
tells you that you can get to this position by first going 8 mi east (X-axis)
then go 6 mi north (y-axis)
this makes a right triangle and gives the length of the hypotenuse to 10mi
Pythagorean thm
h= sqrt(a2+b2)
and use trig to find certain sides SOHCAHTOA (tan for angle)
How is the angle measured?
from the counter clockwise position of the x-axis
what is not needed for vectors?
ONLY magnitude and direction is specificed for vectors, and starting position is not given, so the starting point is inconsequential
how do scalars add
algebraically
how do vectors add
Total displacement= T= A + B(vectors)
tip to tail then find the length

when are forces considered balanced
when their vectors add up to 0
during the lab how will we know the forces are equal to 0
when looking at the force table, the know balances at the center of the force table