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Question 124Asked in BPSC TRE 3.0 (2024) Mathematics Class 11-12

Which of the following is unit vector along 3j + 4k?सदिश 3j + 4k की दिशा में कौन-सा एकांक सदिश है?

सदिश 3j + 4k की दिशा में कौन-सा एकांक सदिश है?
  1. A(1/5)(3j + 4k)(1/5)(3j + 4k)
  2. B(1/7)(3j + 4k)(1/7)(3j + 4k)
  3. Ci + j + ki + j + k
  4. DMore than one of the aboveउपर्युक्त में से एक से अधिक
  5. ENone of the aboveउपर्युक्त में से कोई नहीं
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Correct answer: (A) (1/5)(3j + 4k)(1/5)(3j + 4k)

Explanation

|3j + 4k| = √(9 + 16) = 5, so the unit vector in that direction is (3j + 4k)/5.|3j + 4k| = √(9 + 16) = 5, इसलिए उस दिशा में एकांक सदिश (3j + 4k)/5 है।

From BPSC TRE 3.0 (2024) Mathematics Class 11-12 — Previous Year Paper

This is question 124 of BPSC TRE 3.0 (2024) Mathematics Class 11-12 — Previous Year Paper. See all questions of this paper with answers, or attempt the paper as a timed online test to get your score and all-India rank.