Vectors: Magnitude with direction

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by calbc3
Last updated 5 years ago

Discipline:
Math
Subject:
Calculus
Grade:
9,10,11,12

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Vectors: Magnitude with direction

Vectors:magnitude with direction

a quantity having direction as well as magnitude, especially as determining the position of one point in space relative to another.

Deriving VectorsBy deriving vectors you can go from a position vector to a velocity vector, velocity to acceleration, and so on.Calculator>use the numerical derivative function on your calculator to derive each vector seperately.Non-Calculator>Derive each vector seperately by hand, using power rule, chain rule, etc.

Practice Here!

Remember that the derivitive of a funtion Y(x) is Dy/Dx

>Derive your individual functions with respect to 't', ergo [Dx/Dt , Dy/Dt] >Divide Dy/Dt by Dx/Dt so that the 'Dt's cancel

Converting to a derived function

vectors are commonly used in navigation

Common ErrorAlert!Do not divide by Dx/Dt twice! this is not parametric!

http://www.physicsclassroom.com/morehelp/vectaddnhttp://mathworld.wolfram.com/VectorDerivative.html


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