CAlculus 3 Magnitude of r'(t) for r(t) = 3costi+4sintj+1/2tk

[lukasz]

what is the magnitude of r'(t)
r(t) = 3costi+4sintj+1/2tk
r'(t) = -3sinti + 4costj+1/2k
||r'(t)||= ?

I have to find T(t) = r'(t)/ ||r'(t)||

 

[Deleted member 4993]

Re: CAlculus 3 Magnitude Please help

what is the magnitude of r'(t)
r(t) = 3costi+4sintj+1/2tk
r'(t) = -3sinti + 4costj+1/2k
||r'(t)||= ?

I have to find T(t) = r'(t)/ ||r'(t)||

If we have vector

V = A i + B j + C k

then

||V|| = [A[sup:4st23k7h]2[/sup:4st23k7h] + B[sup:4st23k7h]2[/sup:4st23k7h] + C[sup:4st23k7h]2[/sup:4st23k7h]][sup:4st23k7h](1/2)[/sup:4st23k7h]