Question

please solve this question​

Answer 1

Step-by-step explanation:

$\bf \: Given, ( \vec a \times \vec b ) \: is \: a \: unit \: vector \: \\ \bf \: Magnitude \: of \: ( \vec a \times \vec b )=| \vec a \times \vec b |=1$

$\bf| \vec a \times \vec b |= | \vec a| | \vec b| sin \theta \: \hat n | , \: 0 \: is \: the \: angle \: between \: \vec a \: and \: \vec b .$

$\boxed{ \bf \red{\hat n \: is \: a \: unit \: vector \: perpendicular \: to \: \vec a and \vec b \: So,| \hat n |=1}}$

$\sf| \vec a \times \vec b |=| \vec a || \vec b |sin \theta \times 1 \\ \sf \: | \vec a \times \vec b |=| \vec a || \vec b |sin \theta \\ \sf \: 1 = 3 \times \frac{ \sqrt{2} }{3} \times sin \theta \: \\ \sf \: 1 = \sqrt(2) \times sin \theta \\ \sf \: sin \theta = \frac{1}{ \sqrt{2} } \\ \\ \boxed{\sf \red{ \theta = sin^{ - 2} \frac{1}{ \sqrt{2} } = \frac{ \pi}{4} }}$

Answer 2

A magnetic field is a vector field that describes the magnetic influence on moving electric charges, electric currents, and magnetic materials. ... Magnetic fields surround magnetized materials, and are created by electric currents such as those used in electromagnets, and by electric fields varying in time.

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