I want to proof that, given vector a non zero and a vector b, so

I know how to proof <=

but how to proof =>?

My try:

I tried to prove

Now

so b is orthogonal to both a and c

so

So if we have my doubt is, my I affirm this???

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- March 4th 2014, 02:07 PMPipitavectors
I want to proof that, given vector a non zero and a vector b, so

I know how to proof <=

but how to proof =>?

My try:

I tried to prove

Now

so b is orthogonal to both a and c

so

So if we have my doubt is, my I affirm this??? - March 4th 2014, 02:46 PMPlatoRe: vectors
- March 4th 2014, 08:06 PMInformalsportsRe: vectors
I am at Lower class and learning about Mathematics so when many guyes replying here i will learn more thanks..

- March 4th 2014, 10:05 PMHartlwRe: vectors
Plato post #2 is correct. But define, out of the clear blue sky?

axb is perpendicular to a and b and (axb)xa is then in direction b.

(axb)xc=(a.c)b - (a.b)c from vector algebra, look it up.

(axb)xa=(a.a)b - (a.b)c, which gives Plato's formula, c=axb/a^{2}