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# vectors and stuff

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Types of error and descriptions Random error comes from a lot of trials. Systematic error comes from the measurement device because it is *never* accurate enough. Total error is the rms deviation of the random error plus the systematic error.
How do you determine the actual range of values? the average plus or minus the total error gives the range
How do you reduce error with one measurement? for a pendulum period, record 10 at once. Divide the time and the error by 10 do decrease error and find a closer value.
How do you indicate unit vectors and how do you use them? an i, j, or k with a hat, used to multiply by component to determine direction.
what is the scalar dot product? It's the two vectors' mags multiplied by the cosine of theta. That equals Ai*Bi + Aj+Bj.
how do you find the rms deviation? The square root of ((<x^2>-<x>^2)/(N-1)), where <x> is the average and N is the sample size.
how do you find percent error? rms/average * 100
cross product two vectors' mags multiplied by sine of theta. finds shared area of parallelogram. right hand rule determines which side of the paper it is. a bullet in a circle=out of, circle x = into.
matrices and component form to do cross product write 3 rows of 6 items. i,j,k,i,j,k, components of "first" vector twice(important), components of second vector twice. Then draw diagonal line to right of i and multiply numbers. Subtract the opposite-facing i line. This is i component. Repeat for j, k.
difference quotient (f(a+h)-f(a))/h, h-->0
cross product defined= actually matrix business and 3 components added together, can't tell whether it goes in or out at that point.
Created by: corndog67