1.

\(\vec a,\;\vec b,\;\vec c\) are three orthogonal vectors. Given that \(\vec a = \hat i + 2\hat j + 5\hat k\) and \(\vec b = \hat i + 2\hat j - \hat k\), the vector \(\vec c\) is parallel to

A. \(\hat i + 2\hat j + 3\hat k\)
B. \(2\hat i + \hat j\)
C. \(2\hat i - \hat j\)
D. \(4\hat k\)
Answer» D. \(4\hat k\)


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