How Do You Solve Vector Velocity in 3D?

[jmagic]

Homework Statement

Homework Equations

i+j+k=1, <1,1,1>

The Attempt at a Solution

a(t)=i+(30t^(4))j+(2e^(-t)ln(e)-2e^(-t)(1/e))k
r(t)=(2+6t)i+(2+t^6+2t)j+(2+2e^-t)k




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1. The problem statement, a

 

[tiny-tim]

Welcome to PF!

Hi jmagic! Welcome to PF!

r(t)=(2+6t)i+(2+t^6+2t)j+(2+2e^-t)k

i and j are correct, but the constant in k is wrong …

hint: e⁰ = … ?

a(t)=i+(30t^(4))j+(2e^(-t)ln(e)-2e^(-t)(1/e))k

Hint: 6 and ln(e) are constants, aren't they?