A unit vector has
Correct answer: A. magnitude one and specifies direction only
- A. magnitude one and specifies direction only
- B. zero magnitude
- C. magnitude equal to the vector it came from
- D. no direction
Explanation
Dividing any vector by its own magnitude gives a unit vector along the same line, which carries the direction information with the size stripped away. The unit vectors i, j and k along the three axes are used to write any vector in component form. A null vector, by contrast, has zero magnitude and an undefined direction.
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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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