question_answer

Can the increment \[\Delta a\] in the magnitude of vector \[\vec{a}\] be greater than the modulus of the increment of the vector, that is, \[|\Delta \vec{a}|\]? Can they be equal?

Answer:

                No, the increment\[\Delta a\] cannot be greater than the increment \[|\Delta \vec{a}|,\], as shown in Fig. The two will be equal if \[\vec{a}\] and \[\Delta \vec{a}\] have the same direction.