Eliminate the parameter t, write the equation in Cartesian coordinates, then sketch the graphs of the vector -valued functions. 22. r ( t ) = 2 t i + t 2 j (Hint: Let x = 2 t and y = t 2 . Solve the first equation for x in terms of t and substitute this result into the second equation.)
Eliminate the parameter t, write the equation in Cartesian coordinates, then sketch the graphs of the vector -valued functions. 22. r ( t ) = 2 t i + t 2 j (Hint: Let x = 2 t and y = t 2 . Solve the first equation for x in terms of t and substitute this result into the second equation.)
Eliminate the parameter t, write the equation in Cartesian coordinates, then sketch the graphs of the vector-valued functions.
22.
r
(
t
)
=
2
t
i
+
t
2
j
(Hint: Let
x
=
2
t
and
y
=
t
2
. Solve the first equation for x in terms of t and substitute this result into the second equation.)
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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