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Question 260002
JEE Mathematics · Easy

Vectors: Unit vector MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Unit vectorEasyQuestion 260002

Question

The unit vector in the direction of a⃗ = 2î + 2ĵ + k̂ is:
  1. A
    (2î + 2ĵ + k̂)/3
    Correct
  2. B
    (2î + 2ĵ + k̂)/√5
  3. C
    (î + ĵ + k̂)/√3
  4. D
    î + ĵ + k̂

Correct answer

(2î + 2ĵ + k̂)/3

Explanation

|a⃗| = √(4 + 4 + 1) = √9 = 3. Unit vector = a⃗/|a⃗| = (2î + 2ĵ + k̂)/3.

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