( ( A vector ) ( ( is ( ( characterized ( by ( the fact ) ) ) ( that ( it ( has ( both ( ( ( a ( ( magnitude or ) size ) ) and ) ( a direction ) ) ) ) ) ) ) ) . ) )
(ROOT (S (NP (DT A) (NN vector)) (VP (VBZ is) (VP (VBN characterized) (PP (IN by) (NP (DT the) (NN fact))) (SBAR (IN that) (S (NP (PRP it)) (VP (VBZ has) (NP (PDT both) (NP (DT a) (NN magnitude) (CC or) (NN size)) (CC and) (NP (DT a) (NN direction)))))))) (. .)))
A vector is characterized by the fact that it has both a magnitude or size and a direction.
(ROOT (S (NP (NNP Vector)) (VP (VBZ is) (NP (NP (DT a) (NN measure)) (SBAR (WHNP (WDT that)) (S (VP (VBZ has) (NP (DT both) (NN size) (CC and) (NN direction))))))) (. .)))