when a person moves from point A to B whose position co-ordinates are (1,2,1) and (-1,3,2) than find displacement
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by calculating the magnitude of A from O (origin) we get,√1²+2²+1²=√6 units.( vector law).
let this distance be OA. and the second distance be OB. so the magnitude of the OB=√1+9+4=√14 units.
so
by the vector addition we have, OA+AB=OB.
and then the displacement=√(1+1)²+(2-3)²+(1-2)²=√4+1+1=√6.hence the magnitude of the displacement is equal to OA.but don't consider it as it should be equal to OB.
let this distance be OA. and the second distance be OB. so the magnitude of the OB=√1+9+4=√14 units.
so
by the vector addition we have, OA+AB=OB.
and then the displacement=√(1+1)²+(2-3)²+(1-2)²=√4+1+1=√6.hence the magnitude of the displacement is equal to OA.but don't consider it as it should be equal to OB.
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