Give examples–a formula and an illustration–of two-dimensional vector fields F⃗(x,y) with each of the following properties....

Give examples–a formula and an illustration–of two-dimensional vector fields F⃗(x,y) with each of the following properties. You could do the illustrations by hand.

a) The direction of F⃗ is constant but the magnitude is not constant.

b) The magnitude |F⃗| is constant but the direction is not constant.

c) All the vectors F⃗ along a horizontal line are equal, but F⃗ is not constant overall.

d) F⃗ (x, y) is perpendicular to xˆi + yˆj at every point (x, y).

e) F⃗ is a force field which repels from the origin. It is strongest near the origin, and weaker farther

away.

Solutions

Expert Solution

Colby Messinger answered 1 year ago

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