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22 Cards in this Set
- Front
- Back
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distance formula
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d= (sum (x-x)^2)^1/2
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eq. of sphere
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(x-a)^2+(y-b)^2+(z-c)^2=r^2
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parametric eq. of a line thru (a1,a2,a3) and (b1,b2,b3)
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x=a1+t(b1-a1) y=a2+t(b2-a2) z=a3+t(b3-a3)
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unit vector if a =
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a/llall
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law of cosines
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c^2=a^2+b^2-2abcos@
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<a,b>=
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llallllbllcos@
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<ua,ub>=
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cos@
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comp(b) of a=
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<a,ub>
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proj(b) of a=
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(compba)ub
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schwartz ineq
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l<a,b>l is less than or equal to llallllbll
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triangle ineq
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lla+bll less than or equal to llall+llbll
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llaXbll=
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llallllbllsin@
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volume of parallelapiped
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l<(aXb), c>l
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vector parametrization of a line
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r(t)=ro+t(d)
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angle between two lines?
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cos@=l<ud, uD>l
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distance from point to line?
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vector PoP1Xd/lldll
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(AB)^-1=
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(B^-1)(A^-1)
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(A+B)^T=
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A^T+B^T
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(AB)^T=
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(B^T)(A^T)
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(A^T)^-1
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(A^-1)^T
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adj(A)=
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transpose of cofactor matrix
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A^-1=
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adj(A)/det(A)
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