Proving Vector Orthogonality of b onto a

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Homework Statement



Show that vector orth of b onto a=b-proj of b onto a is orthogonal to a.


I totally don't know where to start :(

and I don't know hat orth of b onto a means...
 
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darthxepher said:
and I don't know hat orth of b onto a means...

Well, that's kind of crucial for answering this question, isn't it. Do you have any lecture notes or textbook in which you can look this up?
Do you remember what the dot product (\vec a \cdot \vec b) meant geometrically?
 
Prove $$\int\limits_0^{\sqrt2/4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx = \frac{\pi^2}{8}.$$ Let $$I = \int\limits_0^{\sqrt 2 / 4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx. \tag{1}$$ The representation integral of ##\arcsin## is $$\arcsin u = \int\limits_{0}^{1} \frac{\mathrm dt}{\sqrt{1-t^2}}, \qquad 0 \leqslant u \leqslant 1.$$ Plugging identity above into ##(1)## with ##u...

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