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can any1 explain cauchy schwarz inequality saf saf?i wikied but i cudnt get anything....
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11 Answers
62look at this in terms of vectors
v=ai+bj+ck
w=xi+yj+zk
we knwo that the dot product is
v.w =ax+by+cz = vw cos θ
take modulus of both sides...
|v.w| = | vw cos θ | <= |v||w| (because of cos θ)
|ax+by+cz|<= |v||w|
|ax+by+cz|<= √|a2+b2+c2||x2+y2+z2|
this is basically the statement of cauchy schwarz.
39wewll this is the best way i could ever find anyone explain cauchy schwarz. its a big book altogether but further proceeding requires a knowledge of inner space product, which is not necessary at this point of time.
24proved way back here..........http://targetiit.com/iit_jee_forum/posts/inequalities_3234.html
pity no one read it....
39hey man, she asked for a better solution. and even i did it as qod solution! [33]
1hey tx ppl.[32]..i got it ...and by da by mathie...is it from hall n knight higher algebra?