JEE Main 2019 · 9 Apr · Shift II

JEE Main 2019 Mathematics question on Vector Algebra

If a unit vector a⃗\vec{a} makes angles π3\frac{\pi}{3} with i^\hat{i}, π4\frac{\pi}{4} with j^\hat{j} and θ∈(0,π)\theta \in (0, \pi) with k^\hat{k}, then a value of θ\theta is
  1. A.
    5π6\frac{5\pi}{6}
  2. B.
    π4\frac{\pi}{4}
  3. C.
    5π12\frac{5\pi}{12}
  4. D.
    2π3\frac{2\pi}{3}
Show answer

Correct option: D

[JEE Main 2019 · 9 Apr · Shift II]

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