What does the ^ notation mean in vector calculus?

Lucy Yeats
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Homework Statement



I'm having problems with question 12b of the attached past exam paper, because I have no idea what the notation ^ means in vector calculus. If someone could explain that to me, I'd be really grateful. :-)

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The Attempt at a Solution



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Hi Lucy Yeats! :smile:

##\wedge## is a synonym for the cross product for vectors ##\times##.
 
Great, thanks so much!
 
Lucy Yeats said:
Great, thanks so much!

And?
Did you solve it?
 
Yes, thanks! :-)
 

Thread 'Prove that the integral is equal to ##\pi^2/8##'

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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