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Multiple Choice Questions

Let be three mutually perpendicular vectors each of unit magnitude If and then which of the followin...........

Mathematics (NDA) Vector

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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 of the following is correct?

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

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

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

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

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