If each vector have unit magnitude than A. A is:
Correct answer: B. One
- A. Zero
- B. One
- C. Negative One
- D. Two
Explanation
The correct answer is 'One'. When two vectors each have unit magnitude, the dot product is calculated as the cosine of the angle between them. If the vectors are aligned, the angle is 0 degrees, and the cosine of 0 degrees is 1. Thus, the dot product is 1. Options 'Zero', 'Negative One', and 'Two' are incorrect because they do not reflect the properties of the dot product for unit vectors.
This question appeared on the ETEA MDCAT 2016 paper, which you can sit online with every answer explained.
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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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