Compute the magnitude of the following vectors:` veca= hat i+ hat j+ hat k` ; `vecb=2 hat i-7 hat j-3 hat k` ; `vecc=1/(sqrt(3)) hat i+1/(sqrt(3)) hat j-1/(sqrt(3)) hat k`

Explanation

To compute the magnitude of the given vectors, we will follow the formula for the magnitude of a vector in three-dimensional space. The magnitude of a vector \( \vec{v} = x \hat{i} + y \hat{j} + z \hat{k} \) is given by:

\[ |\vec{v}| = \sqrt{x^2 + y^2 + z^2} \]

Now, let's compute the magnitudes of the vectors one by one.

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