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Modulus of vector \(\mathop c\limits^ \to = 4\hat i - 5\hat j + 11\hat k\) is:
1. 9
2. \(9\sqrt 2 \)
3. \(9\sqrt 3\)
4. 10

1 Answer

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Best answer
Correct Answer - Option 2 : \(9\sqrt 2 \)

Concept:

The magnitude of a 3d vector xî + yĵ + zk̂ is given by:

\(\sqrt{x^2 +y^2+z^2}\)

Calculation:

\(\mathop c\limits^ \to = 4\hat i - 5\hat j + 11\hat k\)

\(⇒ \sqrt{4^2 + (-5)^2 + 11^2}\)

⇒ √162 = 9√2

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