( ( ( The magnitude ) ( of ( a ( position vector ) ) ) ) ( ( is ( ( the distance ) ( from ( ( the origin ) ( to ( the object ) ) ) ) ) ) . ) )
(ROOT (S (NP (NP (DT The) (NN magnitude)) (PP (IN of) (NP (DT a) (NN position) (NN vector)))) (VP (VBZ is) (NP (NP (DT the) (NN distance)) (PP (IN from) (NP (NP (DT the) (NN origin)) (PP (TO to) (NP (DT the) (NN object))))))) (. .)))
The magnitude of a position vector is the distance from the origin to the object.
(ROOT (S (NP (NNP Distance)) (VP (VBZ is) (VP (VBN defined) (PP (IN as) (NP (NP (DT the) (NN magnitude) (CC or) (NN size)) (PP (IN of) (NP (NP (NN displacement)) (PP (IN between) (NP (CD two) (NNS positions))))))))) (. .)))