where distance is equal to displacement examples
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If a body moves from a point X to a point Y, then the distance travelled (a scalar) is the length of the actual path taken by it.
On the other hand, the displacement vector is a vector pointing from X to Y. Obviously the displacement magnitude is the length of this displacement vector.
Since the displacement vector is a straight line from X to Y, hence its magnitude will be equal to the distance travelled as defined in the first para above if & only if (in maths, physics etc “if & only if” is generally abbreviated as iff, by the way) the actual path taken from X to Y is a straight line. In all other cases, the distance travelled is > the magnitude of the displacement vector.
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On the other hand, the displacement vector is a vector pointing from X to Y. Obviously the displacement magnitude is the length of this displacement vector.
Since the displacement vector is a straight line from X to Y, hence its magnitude will be equal to the distance travelled as defined in the first para above if & only if (in maths, physics etc “if & only if” is generally abbreviated as iff, by the way) the actual path taken from X to Y is a straight line. In all other cases, the distance travelled is > the magnitude of the displacement vector.
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when it is in a straight line or perpendicular to the last point.
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