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If both x and y components of a vector are equal, its angle with x-axis is

  • A.30°
  • B.45°
  • C.60°
  • D.90
  • E.0°

Answer: B

The angle is 45°.

The angle \(\theta\) with the x-axis satisfies \(\tan\theta = \frac{A_{y}}{A_{x}}\). With equal components,

\[ \tan\theta = 1 \Rightarrow \theta = 45^{\circ} \]

30° and 60° need components in the ratio \(1 : \sqrt{3}\). 90° means no x-component, and 0° means no y-component.

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