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

Question

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

Quizplus · Accepted Answer

Given two vectors, their sum is obtained by adding corresponding components. In this case, the sum of the two vectors is obtained by adding the first component of each vector, the second component of each vector, and so on. It is clear from the options that only option A has the correct sum of corresponding components.

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

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