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1999

JEE Main 1999 Mathematics question on Vector Algebra

Let a⃗=2i^+j^−2k^\vec{a} = 2\hat{i} + \hat{j} - 2\hat{k} and b⃗=i^+j^\vec{b} = \hat{i} + \hat{j}. If c⃗\vec{c} is a vector such that a⃗⋅c⃗=∣c⃗∣\vec{a} \cdot \vec{c} = |\vec{c}|, ∣c⃗−a⃗∣=22|\vec{c} - \vec{a}| = 2\sqrt{2} and the angle between (a⃗×b⃗)(\vec{a} \times \vec{b}) and c⃗\vec{c} is 30°30°, then ∣(a⃗×b⃗)×c⃗∣|(\vec{a} \times \vec{b}) \times \vec{c}| is equal to
  1. A.
    23\dfrac{2}{3}
  2. B.
    32\dfrac{3}{2}
  3. C.
    22
  4. D.
    33
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Correct option: B

[1999]

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