The Physics
Hypertextbook
Opus in profectus

Vector Addition & Subtraction

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Summary

Physical quantities compared
aspect scalars vectors
definition a quantity that has
magnitude
only
a quantity that has both
magnitude
and direction
    up, down, left, right
north, east, west, south
forward, backward
parallel, perpendicular
radial, tangential
positive, negative (in a coordinate system)
bearing angle
angle of inclination, depression
angle with the vertical, horizontal
right ascension, declination
examples distance
time
speed
 
 
mass
energy
surface area
volume
density
energy
displacement

velocity
acceleration
force
weight
momentum
projected area
 
 
fields higgs field gravitational field, electromagnetic field, strong nuclear field, weak nuclear field
mathematics ordinary arithmetic
addition, subtraction
sum, difference
multiplication
geometry, trigonometry, vector arithmetic
vector addition, vector subtraction
resultant (), change (Δ)
dot product (·), cross product (×)
solutions diagrams are often helpful diagrams are essentially mandatory
answers a number with a unit a number with a unit and a direction angle
-or-
a number with a unit along each coordinate axis
-or-
an arrow drawn to scale in a specific direction