Give a formula F ( x , y ) = M(x, y) i + N(x, y) j for the vector field in a plane that has the properties that F = 0 at (0, 0) and that at any other point (a, b). F is tangent to circle x 2 + y 2 = a 2 + b 2 and points in the clockwise direction with magnitude | F | = a 2 + b 2 .
Give a formula F ( x , y ) = M(x, y) i + N(x, y) j for the vector field in a plane that has the properties that F = 0 at (0, 0) and that at any other point (a, b). F is tangent to circle x 2 + y 2 = a 2 + b 2 and points in the clockwise direction with magnitude | F | = a 2 + b 2 .
Give a formula F(x, y) = M(x, y)i + N(x, y)j for the vector field in a plane that has the properties that F = 0 at (0, 0) and that at any other point (a, b). F is tangent to circle x2+ y2 = a2 + b2and points in the clockwise direction with magnitude
|
F
|
=
a
2
+
b
2
.
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
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