Given point P(r = 0.8, θ = 30◦, φ = 45◦) and E = 1/r 2 [cos φ ar + (sin φ/ sin θ) aφ], find (a) E at P; (b) |E| at P; (c) a unit vector in the direction of E at P ? Express the uniform vector field F = 5ax in (a) cylindrical components; (b) spherical components.
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