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Be a sequence of independent identically distributed random variables (iid random variables), each with the same distribution, each having common mean a = E(X) and variance s2 =Var(X) Here X is a rv having the same distribution as Xj The sum S =åN j=1 Xj where the number in the sum, N is also a random variable and is. U x v = v x u Geometry and the Cross Product Let u and v be vectors and consider the parallelogram that the two vectors make Note For i x j the magnitude is 1 and the direction is k, hence i x j = k Exercise Find j x k and i x k Torque Revisited We define the torque (or the moment M of a force F about a point Q) as M = PQ x F. ` j Z f m \ i p ;.

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True or false justify answer (i x j) x k = i x (j x k) For any scalar c and any vector v we have cv = cv The value of v ( v x w) is always zero. N b s o X ^ C ́A V v O ̖ 10 x ̓ L A 畆 ̉ A Ȕ玉 A G ہA j I C ̌ Ȃǂ ė Ƃ t ł B. Y j ) ·(w x i w y j ) = v xw x i ·i v xw y i ·j v y w x j ·i v y w y j ·j Recall i ·i = j ·j = 1 and i ·j = j ·i = 0 We conclude that v ·w = v xw x v y w y The dot product in vector components (Case R3) Theorem If v = hv x,v y,v ziand w = hw x,w y,w zi, then v ·w is given by v ·w = v xw x v y w.

Related Content Pumpkin Tricky Word Colour and Count Phase 3 Learn some of the Phase Three tricky words with the help of this fun worksheet, themed with pumpkins!. 923 n X k 1 b k Tv k 924 n X k 1 b k m X j 1 a jk w j 925 m X j 1 w j n X k 1 a from LINEAR ALG at California State University, Northridge. Vhxxfxx iirx'xObt xivcx"v^ b V '\QOs} "XV'I Ya^XXa;.

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