Given Two Non-Zero Vectors $\overrightarrow { \mathbf { A } }$

Given two non-zero vectors, $\overrightarrow { \mathbf { A } }$ and $\vec { B }$ ,such that $| \overrightarrow { \mathrm { A } } | = A = B = | \overrightarrow { \mathrm { B } } |$ ,the sum $\overrightarrow { \mathrm { A } } + \overrightarrow { \mathrm { B } }$ satisfies

A) $0 \leq | \overrightarrow { \mathbf { A } } + \overrightarrow { \mathbf { B } } | \leq 2 A$ .
B) $$0 < | \overrightarrow { \mathbf { A } } + \overrightarrow { \mathbf { B } } | < 2 A$$ .
C) $A \leq | \overrightarrow { \mathbf { A } } + \overrightarrow { \mathbf { B } } | \leq 2 A$ .
D) $A < | \overrightarrow { \mathbf { A } } + \overrightarrow { \mathbf { B } } | < 2 A$ .
E) $0 \leq | \overrightarrow { \mathbf { A } } + \overrightarrow { \mathbf { B } } | \leq 4 A$ .

Correct Answer:

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