3 space question: you are at the point (-1,-3,-3), standing upright and facing t
ID: 2832878 • Letter: 3
Question
3 space question:
you are at the point (-1,-3,-3), standing upright and facing the yz plane. you walk 2 units forward, turn left, and walk for another 2 units. what is your final position? from the point of view of an observer, are you in front or behind the yz-plane? to the left or the the right of the xz-plane? above or below the xy-plane?
this thing is confusing as hell... I got my answer but not sure if I'm right or not so I would like to see how others did and will ask another question regarding left/right/below/above/in front/behind on the planes later. Thus, I will increase the point rewards... make sure to explain neatly and clearly please.
Explanation / Answer
You are at the point (-1, -3, -3), standing upright and facing the yz-plane. You walk 2
units forward, turn left, and walk for another 2 units. What is your final position? From
the point of view of an observer looking at the coordinate system in Figure 12.2, are you
in front of or behind the yz-plane? To the left or to the right of the xz-plane? Above or
below the xy-plane?
You are walking in the positive x direction 2 units. When you take your left turn, you
are pointing in the positive y direction, and move 2 more units. Your final position is
therefore (?1 + 2,?1 + 2,?3) = (1,?1,?3). Therefore, you are
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