#unit vector

The cross product of vectors A and B is a vector perpendicular to A and B.

| i j k |

| 2 4 0 |

| 1 1 -1 |

= i(-4) - j(-2 - 0) + k(2 - 4) = -4i + 2j - 2k

To obtain a unit vector, divide by the magnitude.

Magnitude = √[ (-4)² + 2² + (-2)² ] = √(24) = 2√6

( -4i + 2j - 2k ) / 2√6 = ( -2i + j - k) / √6

What is the magnitude of a unit vector?

What is the magnitude of a unit vector? A. 1

B. 2

C. 3

D. 4 (more…)

Constant magnetic solenoid field

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In [2] the following vector potential

\begin{equation}\label{eqn:solenoidConstantField:20} \BA = \frac{B \rho_a^2}{2 \rho} \phicap, \end{equation}

is introduced in a discussion on the Aharonov-Bohm effect, for configurations where the interior field of a solenoid is either a constant \( \BB \) or zero.

I wasn’t able to make sense of this…