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

question 29

Multiple Choice

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) \(0 \leq | \overrightarrow { \mathbf { A } } + \overrightarrow { \mathbf { B } } | \leq 4 A\) .

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