(Solved): I can't figure this out. Please help! Please write out all steps so I can follow along. 3. You jog a ...

3. You jog at a steady speed of \( 3 \frac{\mathrm{m}}{\mathrm{s}} \). You start from the location \( <0,0,0> \) and for the first 100 s your direction is given by the unit vector \( \langle-1,0,0> \). Next you jog for \( 200 s \) in the direction given by the unit vector \( <\cos 30^{\circ}, 0, \cos 60^{\circ}> \). Finally, you jog for \( 250 \mathrm{~s} \) in the direction given by the unit vector \( <\cos 60^{\circ}, 0, \cos 30^{\circ}> \) a. Now what is your position? b. What was your average velocity? c. What was your average speed?