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JEE Main 2023 · 25 Jan · Shift 1

JEE Main 2023 Mathematics question on Vector Algebra

The vector a⃗=−i^+2j^+k^\vec{a} = -\hat{i} + 2\hat{j} + \hat{k} is rotated through a right angle, passing through the y-axis in its way and the resulting vector is b⃗\vec{b}. Then the projection of 3a⃗+2 b⃗3\vec{a} + \sqrt{2}\,\vec{b} on c⃗=5i^+4j^+3k^\vec{c} = 5\hat{i} + 4\hat{j} + 3\hat{k} is:
  1. A.
    232\sqrt{3}
  2. B.
    323\sqrt{2}
  3. C.
    11
  4. D.
    6\sqrt{6}
Show answer

Correct option: B

[JEE Main 2023 · 25 Jan · Shift 1]

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