A vector can have maximum________components in space.?
Correct answer: C. Three
- A. Zero
- B. Two
- C. Three
- D. Infinite
Explanation
In three-dimensional space, a vector can be resolved into components along the x-, y- and z-axes. Hence the maximum number of mutually perpendicular rectangular components is three. The likely mistake is choosing two, which is the maximum for a vector confined to a plane.
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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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