If both the components of a vector are negative, then the vector lies in the
Correct answer: C. Third quadrant.
- A. First quadrant.
- B. Second quadrant.
- C. Third quadrant.
- D. Fourth quadrant.
Explanation
In the Cartesian coordinate system, the third quadrant is characterized by both x and y components being negative. Thus, a vector with both negative components lies in the third quadrant. Other quadrants have different combinations of positive and negative components: the first quadrant has both positive, the second quadrant has a negative x-component and a positive y-component, and the fourth quadrant has a positive x-component and a negative y-component.
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About Addition of Vectors
Vector addition combines directed quantities using the head-to-tail, parallelogram and component methods. Work includes finding the resultant magnitude and direction for two or more vectors, resolving vectors into perpendicular components, and distinguishing vector addition from scalar addition, where direction has no role.
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