Question:

\(\ \left|\ \vec{i}-2\vec{j}+2\vec{k}\ \right|=\) ?

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Length of \((a,b,c)\) is \(\sqrt{a^{2}+b^{2}+c^{2}}\).
  • \(3\)
  • \(6\)
  • \(7\)
  • \(5\)
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The Correct Option is A

Solution and Explanation

Magnitude of \((1,-2,2)\): \[ \sqrt{1^{2}+(-2)^{2}+2^{2}}=\sqrt{1+4+4}=\sqrt{9}=3. \]
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