Unit vector in the direction of vector 2i - 4j will be:
Correct answer: C. i − 2j / √5
- A. 2i − 4j / √6
- B. 4i − 2j / √10
- C. i − 2j / √5
- D. i − 2j / √7
Explanation
Explanation: Magnitude of 2i - 4j = √(2² + (-4)²) = √20 = 2√5For unit vector = (2i -4j) / 2√5 = i - 2j / √5
This question appeared on the UHS MDCAT 2009 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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