If B = iˆ -2 jˆ +2 kˆ , then unit vector along B will be:
Correct answer: D. B/3
- A. 3
- B. 3b
- C. iˆ -2 jˆ +2 kˆ
- D. B/3
Explanation
The following is the solution: If B=i−2j+2k, then the unit vector along B (u B ) is obtained by dividing B by its magnitude (∣B∣). The unit vector is given by: u B = B/∣B∣ Now, let's calculate ∣B∣ and u B Calculate ∣B∣: ∣B∣=(i)2+(−2j)2+(2k)2 ∣B∣= 1+4+4=9=3 Calculate u B: u B= B/∣B∣ = i−2j+2k/3
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