FearlessIsland3

3 Questions
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465

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Help!

Consider the line parametrized by $\begin{align*} x&= 2t + 1,\\ y& = -3t +2. \end{align*}$

Find a vector $\begin{pmatrix}a\\b\end{pmatrix}$ that's parallel to this line and satisfies $a+b = 3$.

FearlessIsland3 Jul 27, 2020

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685

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Need help on this math question about magnitudes

Let $z$ and $w$ be complex numbers satisfying $|z| = 5, |w| = 2,$ and $z\overline{w} = 6+8i.$ Then enter in the numbers \[|z+w|^2, |zw|^2, |z-w|^2, \left| \dfrac{z}{w} \right|^2 \]below, in the order listed above. If any of these cannot be uniquely determined read more ..

FearlessIsland3 Jun 28, 2020

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612

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The spherical coordinates of (-3, 4, -12) are (rho, theta, phi). Find tantheta + thetaphi.

The spherical coordinates of (-3, 4, -12) are (rho, theta, phi). Find tan*theta + theta*phi.

I've already tried converting the cartesian coordinates provided into spherical coordinates:
I got rho = 13, theta = arccos(-12/13), read more ..

FearlessIsland3 Jun 16, 2020