You start at position (0,0). You change position three times. Each DISTANCE (not

Question

You start at position (0,0). You change position three times. Each DISTANCE (not a vector) you cover is the same: 100 meters. But the Direction you travel is different each time. Your final position is (0,0): You end up where you started! Let's define the three vectors as and Here is a diagram of your journey. Write vector A in vector notation. Write vector B in vector notation. Write vector C in vector notation. Obtain the sum + .What quadrant does that point towards? (or, what DIRECTION does it point towards?) Obtain the sum + + .(The answer should be zero!)

Explanation / Answer

1) vectoor A = (1,0,0 ) i.e. i + 0 j + 0k 2)Vector B = (0.5,0.866,0) -(1,0,0) = (-0.5,0.866,0) i.e -0.5 i + 0.866j + 0k 3) vector C =(0,0,0)-(0.5,0.866,0) = (-0.5,-0.866,0) i.e -0.5 i - 0.866j + 0k 4) A + B = (0.5,0.866,0) .it lies in first quadrant and is at 60 degrees North of east 5)A+B+C = (0,0,0)

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