When a vector is multiplied by a negative number, its direction
Correct answer: A. Is reversed
- A. Is reversed
- B. Remains unchanged
- C. Make an angle of 60°
- D. May be changed or not
Explanation
Multiplying a vector by negative one reverses the direction but doesn't change the magnitude. Multiplying by any other negative number reverses the direction and changes the magnitude of the vector. When multiplying a vector by a scalar, the result is also a vector. We know that any vector has both magnitude and direction. Multiplying a vector by a positive number other than one changes the magnitude but does not change the direction. Multiplying a vector by negative one reverses the direction but doesn't change the magnitude. Multiplying by any other negative number reverses the direction and changes the magnitude of the 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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