1.3-Vectors and Vector Operations

Vector Properties: additive inverse

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Vector Properties: associativity of addition

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Vector Properties: associativity of scalar multiplication

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Vector Properties: commutativity of addition

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Vector Properties: left distribution of scalar multiplication

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Vector Properties: right distribution of scale multiplication

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velocity

- a quantity that is often represented by a vector

unit vector

- a vector with magnitude 1.

magnitude

- aka length

resultant force

- aka net force - the sum of all forces acting on the object. - multiple forces are acting on an object.

true course

- aka track - the direction of the resultant v + w

scalar

- an element of real number - one-dimensional vector - single number

Vector Properties: additive identity

- identify means it is left unchanged

Vector Properties: scalar multiplication identity

- identify means it is left unchanged -

static equilibrium

- net force is zero

vector

- quantity that has magnitude and direction. - represent with an arrow or bold face letters. - typically represented and computed using Cartesian coordinates. - Examples:

ground speed

- the magnitude of the resultant.

speed

- the magnitude of velocity - scale

center of mass

-the unique point in an object or system which can be used to describe the system's response to external force. - if many particles, position vectors of each are used.

dipole moment

a vector quantity. NEEDS MORE

dipole

consists of two equal and opposite point charges.