Which of the following is a unit vector parallel to the vector a = 2î − ĵ + 2k̂?
Which of the following is a unit vector parallel to the vector a = 2î − ĵ + 2k̂?
- A. (2î − ĵ + 2k̂)/3
- B. (2î − ĵ + 2k̂)/4
- C. (î − ĵ + k̂)/√3
- D. (2î + ĵ − 2k̂)/3
Answer: A) (2î − ĵ + 2k̂)/3
Explanation: Magnitude of a = √(2² + (−1)² + 2²) = √9 = 3. Unit vector = a / |a| = (2î − ĵ + 2k̂)/3.
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