Vectors 2

C o n s i d e r t h e t w o v e c t o r s a a n d b . I f a b , t h e n t h e m a g n i t u d e o f t h e i r s u m i s : Consider\quad the\quad two\quad vectors\quad \overrightarrow { a } and\quad \overrightarrow { b } .\quad If\quad \left| \overrightarrow { a } \right| \succ \left| \overrightarrow { b } \right| ,\quad then\quad the\quad magnitude\quad of\quad their\quad sum\quad is\quad : A: C a n n o t b e g r e a t e r t h a n a + b Cannot\quad be\quad greater\quad than\quad \left| \overrightarrow { a } \right| +\left| \overrightarrow { b } \right| B: C a n n o t b e l e s s t h a n a + b Cannot\quad be\quad less\quad than\quad \left| \overrightarrow { a } \right| +\left| \overrightarrow { b } \right| C: M u s t b e e q u a l t o a b Must\quad be\quad equal\quad to\left| \overrightarrow { a } \right| -\left| \overrightarrow { b } \right| D: i s e q u a l t o a + b is\quad equal\quad to\left| \overrightarrow { a } \right| +\left| \overrightarrow { b } \right| Choose the correct answer.

B C A D

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1 solution

Ramesh Goenka
Oct 21, 2014

the triangle inequality .. !!

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