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Mathematics
Problem
Vector function
r
(
t
)
r(t)
r
(
t
)
satisfies
∣
r
(
t
)
∣
=
5
|r(t)| = 5
∣
r
(
t
)
∣
=
5
for all real
t
t
t
. Determine
r
(
t
)
⋅
r
′
(
t
)
r(t)\cdot r'(t)
r
(
t
)
⋅
r
′
(
t
)
for every
t
t
t
and briefly justify your result.
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