Sketch the vector field by drawing some representative nonintersecting vectors . The vectors need not be drawn to scale, but they should be in reasonably correct proportion relative to each other. F ( x , y ) = x i + y j x 2 + y 2 . [ Note: Each vector in the field is a unit vector in the same direction as the position vector r = x i + y j .]
Sketch the vector field by drawing some representative nonintersecting vectors . The vectors need not be drawn to scale, but they should be in reasonably correct proportion relative to each other. F ( x , y ) = x i + y j x 2 + y 2 . [ Note: Each vector in the field is a unit vector in the same direction as the position vector r = x i + y j .]
Sketch the vector field by drawing some representative nonintersecting vectors. The vectors need not be drawn to scale, but they should be in reasonably correct proportion relative to each other.
F
(
x
,
y
)
=
x
i
+
y
j
x
2
+
y
2
.
[Note: Each vector in the field is a unit vector in the same direction as the position vector
r
=
x
i
+
y
j
.]
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.
Precalculus: Mathematics for Calculus - 6th Edition
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