Question

If the magnitude of x prime crossed with x double prime equals sqrt((6t^2)^2 + (6t)^2 + 2^2), is it safe to say it reduces down to 2sqrt(9t^4 + 9t^2 + 1)?

Answer 1

take x prime to be z
x'' = dz/dt

Answer 2

I'm not quite sure I understand...

Answer 3

x'.x'' = zdz/dt
then solve the differential eqn

Answer 4

It was crossed, not dotted.... But I'm only finding the magnitude, and using the sqrt(a^2 + b^2 + c^2) formula and then simplifying down

Answer 5

is x prime dx/dt

Answer 6

No, it's (1,2t,3t^2)