Question:

\(\big(3\vec{i}-4\vec{k}\big)^{2}=\) ?

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\(\|\mathbf{v}\|^{2}=\mathbf{v}\cdot\mathbf{v}\).
  • \(1\)
  • \(25\)
  • \(7\)
  • \(49\)
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The Correct Option is B

Solution and Explanation

Here "square" means dotting the vector with itself (magnitude squared): \[ (3\vec{i}-4\vec{k})\cdot(3\vec{i}-4\vec{k})=3^{2}+(-4)^{2}=9+16=25. \]
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