If a vector $A$ is given as $A=4\hat{\mathrm{i}}+3\hat{\mathrm{j}}+12\hat{\mathrm{k}}$, then the angle subtended with the x-axis is

• A

  ${\sin }^{-1}\left[\frac{4}{13}\right]$
• B

  ${\sin }^{-1}\left[\frac{3}{13}\right]$
• C

  ${\cos }^{-1}\left[\frac{3}{13}\right]$
• Correct answer
  D

  ${\cos }^{-1}\left[\frac{4}{13}\right]$

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