Find the derivative of the vector-valued function below.
r (t) = i + j + k
Is the answer r'(t) = 1 + 1 + 1 or 3?
Note: There is no letter t in front of i, j and k. Do we assume there is a number 1 there for all three letters?
Find the derivative of the vector-valued function below.
r (t) = i + j + k
Is the answer r'(t) = 1 + 1 + 1 or 3?
Note: There is no letter t in front of i, j and k. Do we assume there is a number 1 there for all three letters?
Because you are memorizing formulas and methods rather than learning mathematics! If you understood the concepts behind the formulas and methods, you would have immediately realized that this vector function is a constant and the derivative of any constant is 0. The same problem showed up with the previous problem, finding the tangent and normal vectors to a curve that was, actually, the x-axis!