Consider the vector r(t)= (1-t)i + (3+2t)j + (t-4)k which depends on scalar parameter t. For which t0 is the length of r(t0) minimal?
Equations of motion
The Attempt at a Solution
So I approached this question by saying the length would be minimal when the magnitude is minimal ie. |r|=0.
Simplified down I got 3t2+t+13=0
I tried using the quadratic formula to solve this then but couldn't as the value under the square root was negative.
Am I approaching this question wrong then? Any help would be much appreciated.