Moderate

A vector which has magnitude 'one' is called:

Correct answer: B. A unit vector

  • A. A resultant vector
  • B. A unit vector
  • C. A null vector
  • D. A positive vector

Explanation

(a) A resultant vector: A resultant vector is the vector that represents the sum or combination of two or more vectors. It doesn't necessarily have a magnitude of one, so option (a) is incorrect. (b) A unit vector: A unit vector is a vector that has a magnitude of one. It is often used to indicate direction or to define coordinate axes. So, option (b) is correct! (c) A null vector: A null vector, also known as a zero vector, is a vector that has a magnitude of zero. It doesn't have a direction or any meaningful physical interpretation. So, option (c) is incorrect. (d) A positive vector: The term "positive vector" is not commonly used in vector terminology. Vectors can have positive or negative components, but their magnitude is not necessarily positive. So, option (d) is incorrect. Therefore, the correct option is (b) - A unit vector.

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About Vectors and Equilibrium

Vectors have magnitude and direction, unlike scalars, and are combined by head-to-tail or parallelogram methods. Work covers rectangular components, equilibrium when the resultant force is zero, the scalar product for work and projections, and the vector product for torque and cross-product direction using the right-hand rule.

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