Let $\vec a,\vec b\;and\;\vec c$ be three mutually perpendicular vectors each of unit magnitude. If $\vec A = \vec a + \vec b + \vec c,\;\vec B = \vec a - \vec b + \vec c$ and $\vec C = \vec a - \vec b - \vec c,$ then which one of the following is correct?

Question

Let $\vec a,\vec b\;and\;\vec c$ be three mutually perpendicular vectors each of unit magnitude. If $\vec A = \vec a + \vec b + \vec c,\;\vec B = \vec a - \vec b + \vec c$ and $\vec C = \vec a - \vec b - \vec c,$ then which one of the following is correct?

TuteeHUB · Accepted Answer

$\left| {\vec A} \right| \ne \left| {\vec B} \right| \ne \left| {\vec C} \right|$

TuteeHUB · Answer

$\left| {\vec A} \right| > \left| {\vec B} \right| > \left| {\vec C} \right|$

TuteeHUB · Answer

$\left| {\vec A} \right| = \left| {\vec B} \right| \ne \left| {\vec C} \right|$

TuteeHUB · Answer

$\left| {\vec A} \right| = \left| {\vec B} \right| = \left| {\vec C} \right|$

1.	Let \(\vec a,\vec b\;and\;\vec c\) be three mutually perpendicular vectors each of unit magnitude. If \(\vec A = \vec a + \vec b + \vec c,\;\vec B = \vec a - \vec b + \vec c\) and \(\vec C = \vec a - \vec b - \vec c,\) then which one of the following is correct?
A.	\(\left\| {\vec A} \right\| > \left\| {\vec B} \right\| > \left\| {\vec C} \right\|\)
B.	\(\left\| {\vec A} \right\| = \left\| {\vec B} \right\| \ne \left\| {\vec C} \right\|\)
C.	\(\left\| {\vec A} \right\| = \left\| {\vec B} \right\| = \left\| {\vec C} \right\|\)
D.	\(\left\| {\vec A} \right\| \ne \left\| {\vec B} \right\| \ne \left\| {\vec C} \right\|\)
Answer» D. \(\left\| {\vec A} \right\| \ne \left\| {\vec B} \right\| \ne \left\| {\vec C} \right\|\)

Let \(\vec a,\vec b\;and\;\vec c\) be three mutually perpendicular vectors each of unit magnitude. If \(\vec A = \vec a + \vec b + \vec c,\;\vec B = \vec a - \vec b + \vec c\) and \(\vec C = \vec a - \vec b - \vec c,\) then which one of the following is correct?

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