If A = 2i + 3j - k , B = 4i + 2j - 2k . Find a vector x which is parallel to A but has the magnitude of B?
Correct answer: A. √(12/7) (2i + 3j - k)
- A. √(12/7) (2i + 3j - k)
- B. √(7/12) (4i + 2j - 2k)
- C. √(7/12) (2i + 3j + k)
- D. √(3/5) (i + 2j - 3k)
- E. √(5/12) (3i + 5j - 2k)
Explanation
The magnitude of B is equal to √(4)² + (2)² + (2)²=√24The magnitude of A is equal to √(2)² + (3)² + (1)² =√14The parallel vector is proportional to vector A.=>√24/√14 (2i + 3j - k)=>√(12/7) (2i + 3j - k)
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