The magnitude of $\mathrm{x}$ and $\mathrm{y}$ components of $\overrightarrow{\mathrm{A}}$ are $7$ and $6$ respectively. Also, the magnitudes of $\mathrm{x}$ and $\mathrm{y}$ components of $\overrightarrow{\mathrm{A}}+\overrightarrow{\mathrm{B}}$ are $11$ and $9$ respectively. Calculate the magnitude of vector $\overrightarrow{\mathrm{B}}$.

• A

  $10$
• Correct answer
  B

  $5$
• C

  $6$
• D

  $3$

Hence, the correct answer is option: 'B'.