Question

Can I factor in vector form?

Answer 1

Interpret r(t) as the position of a moving object at time t. Find the curvature of the path.
\[r(t)=(3e^tcos(t))i+(3e^tsin(t))j+(3e^t)k\]

Answer 2

You may take 3e^t common

Answer 3

When calculating the Unit tangent vector I just multiply everything by the common after the calculation?

Answer 4

No

Answer 5

Do not take common if u want to find unit tangent vector