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Quiz yourself by thinking what should be in each of the black spaces below before clicking on it to display the answer.
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Answer
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.  
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How do you determine the actual range of values?   the average plus or minus the total error gives the range  
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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.  
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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.  
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what is the scalar dot product?   It's the two vectors' mags multiplied by the cosine of theta. That equals Ai*Bi + Aj+Bj.  
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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.  
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how do you find percent error?   rms/average * 100  
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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.  
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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.  
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difference quotient   (f(a+h)-f(a))/h, h-->0  
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cross product defined=   actually matrix business and 3 components added together, can't tell whether it goes in or out at that point.  
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