Sunday, April 4, 2010

This week we learned about Vectors:

-Find the components of the vector AB
to do this all you have to do is subtract the components of B from the components of A
-Find the magnitude
if you're dealing with two points, so to find the magnitude you're going to use the distance formula


-Find u + v
you have to add the components of u and v
-Find 2v + u
First you have to multiply the components of v by 2, then you add it to the components of u
then you add them together

so i think i got this, but something i need help with is everything from the past haha

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  2. very funny terrio....well here's something from the past....

    Logarithm Properties:

    logb MN = logb M + logb N

    logb M/N = logb M - logb N

    logb M^K = K logb M

    logb b^k = k (this one i don't get..maybe i copied it wrong)

    b^logb^k = k

    Here are some examples:

    1. log 2 + log 3 + log 4 = log 24 (mulitply: 2 x 3 x 4)

    2. log 8 + log 5 - log 4 = log 10 (mulitply: 8 x 5 then divide: 40/4)

    3. 2 ln 6 - ln 3 = ln 12 (raise 6 to the 2nd power = 36 the divided by 3 = 12)

    4. log M - 3 log N = log M/ N^3

    5. ln 2 + ln 6 - 1/2 ln 9 = ln 12/3 = ln 4

    6. Expand logb MN^2....logb M + 2 logb N

    7. Condense log 45 - 2 log 3....log (45/9) = log 5

    8. Rewrite in exponetial form: log36 6 = 1/2....36^1/2 = 6

    9. Rewrite in logarithmic form: 2^2 = 4....log2 4 = 2

    Changing Bases: (Done when you can't solve a log)

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