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MHT CET 2020 (19 Oct, Shift 2) · Vector Basics, Unit Vectors & Components

Vector Basics, Unit Vectors & Components question from MHT CET 2020 (19 Oct, Shift 2)

Q16MHT CET 2020 · 19 OCT · SHIFT 2Easy

Vector Basics, Unit Vectors & Components

The angle subtended by the vector A=4i^+3j^+12k^A = 4\hat{i} + 3\hat{j} + 12\hat{k} with the XX-axis is

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Answer: (d)

  1. ∣A⃗∣=16+9+144=13|\vec{A}| = \sqrt{16 + 9 + 144} = 13
  2. cos⁡α=Ax∣A⃗∣=413\cos\alpha = \frac{A_x}{|\vec{A}|} = \frac{4}{13}
  3. So the answer is (d) cos⁡−1(413)\cos^{-1}\left(\frac{4}{13}\right).
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