Vector Basics
A unit vector in the direction of î + ĵ + k̂ is
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About This Question
- Subject
- mathematics
- Chapter
- vector algebra
- Topic
- vector basics
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
(1/√3)(î + ĵ + k̂)
- Definition: A unit vector u^ in the direction of a is defined as ∣a∣a.
- Calculate Magnitude: ∣i^+j^+k^∣=12+12+12=3.
- Construct Unit Vector:
- u^=31(i^+j^+k^).
- Verification: The magnitude of this resulting vector is exactly 1.
This easy difficulty mathematics question is from the chapter vector algebra, covering the topic of vector basics. It appeared in the 2025 exam.
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