( ( ( ( Position , ) ( as ( defined above ) ) ) , ) ( ( is ( said ( to ( ( ( be ( a ( vector quantity ) ) ) , ) ( because ( it ( has ( ( ( ( ( ( ( ( both ( a magnitude ) ) , ) or ) size ) , ) ( -LRB- ( ( the distance ) -RRB- ) ) ) and ) ( a direction ) ) ) ) ) ) ) ) ) . ) )
(ROOT (S (NP (NP (NN Position)) (, ,) (SBAR (IN as) (S (VP (VBN defined) (PP (IN above))))) (, ,)) (VP (VBZ is) (VP (VBN said) (S (VP (TO to) (VP (VB be) (NP (DT a) (NN vector) (NN quantity)) (, ,) (SBAR (IN because) (S (NP (PRP it)) (VP (VBZ has) (NP (NP (NP (NP (PDT both) (DT a) (NN magnitude)) (, ,) (CC or) (NP (NN size)) (, ,)) (PRN (-LRB- -LRB-) (NP (DT the) (NN distance)) (-RRB- -RRB-))) (CC and) (NP (DT a) (NN direction))))))))))) (. .)))
Position, as defined above, is said to be a vector quantity, because it has both a magnitude, or size, (the distance) and a direction.
(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))))))))) (. .)))