a. Show that the outward flux of the position vector field F = xi + yj +
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a. Show that the outward flux of the position vector field F = xi + yj + zk through a smooth closed surface S is three times the volume of the region enclosed by the surface.
b. Let n be the outward unit normal vector field on S. Show that it is not possible for F to be orthogonal to n at every point of S.
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a To show that the outward flux of F xi yj zk through a smooth closed surface S is three times the v...View the full answer
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Related Book For 
Thomas Calculus Early Transcendentals
ISBN: 9780321884077
13th Edition
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
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