Find the vector equation of the line which passes through the point (3, 4, 5) and is parallel to the vector \(2\hat i + 2\hat j - 3\hat k\) ?

1
\(\left( {3\hat i + 4\hat j + 5\hat k} \right) + \lambda \cdot \left( {2\hat i + 2\hat j - 3\hat k} \right)\)
2
\(\left( {3\hat i - 4\hat j - 5\hat k} \right) + \lambda \cdot \left( {2\hat i + 2\hat j - 3\hat k} \right)\)
3
\(\left( {3\hat i - 4\hat j - 5\hat k} \right) + \lambda \cdot \left( {2\hat i - 2\hat j - 3\hat k} \right)\)
4
\(\left( {3\hat i - 4\hat j + 5\hat k} \right) + \lambda \cdot \left( {2\hat i + 2\hat j - 3\hat k} \right)\)
5
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