1 vote

Paramterizing the surface on the intersection of $x+z=a$ and interior of $x^2+y^2+z^2=a^2$

Allow the radius to change in your parametrization of the boundary: $$ x=\frac{a}{2}+\frac{r}{2}\cos\theta, y=\frac{r}{\sqrt{2}}\sin\theta,z=\frac{a}{2}-\frac{r}{2}\cos\theta) $$ with $0\leq \theta\...
ntorai's user avatar
  • 31
1 vote

Difficult Vectors Problem (Calculus & Vectors)

$ \def\R#1{{\mathbb R}^{#1}} \def\q{\quad} \def\qq{\qquad} \def\qiq{\q\implies\q} \def\a{\alpha} \def\b{\beta} \def\g{\gamma} \def\A{{\bar\a}} \def\B{{\bar\b}} \def\G{{bar\g}} \def\l{\lambda} ...
greg's user avatar
  • 35.9k

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