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A bullet has pierced the wall and ceiling of a small house, and it may have lodged in the roof. You have studied vectors, so the investigators call on you to calculate the point in the roof where the bullet is expected to be found. The dimensions of the house are in feet.
You set up a three-dimensional coordinate system as shown, with the origin at the floor in the back corner of the house. The bullet pierced the wall at the point (10,14,3) and then pierced the ceiling at the point (7,18,8). Find a unit vector in the direction of the bullet's path.
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