The vector A= 2i^+2j^ makes_______ angle with x-axis.?
Correct answer: B. 45°
- A. 30°
- B. 45°
- C. 60°
- D. 90°
Explanation
For A = 2i + 2j, the x- and y-components are both 2, so tanθ = Ay/Ax = 2/2 = 1. Therefore θ = 45° with the positive x-axis. The likely mistake is choosing 30° or 60° by treating one component as larger, even though both components are equal.
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About Rectangular Components
A vector is resolved into perpendicular horizontal and vertical components using trigonometric relations, usually as Ax = A cos θ and Ay = A sin θ when θ is measured from the horizontal. Questions involve signs in different quadrants, reconstructing a resultant from components, and using components to analyse equilibrium.
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