1.

What is a vector of unit length orthogonal to both the vectors \(\hat i + \hat j + \hat k\) and \(2\hat i + 3\hat j - \hat k\) ?

A. \(\frac{{ - 4\hat i + 3\hat j - \hat k}}{{\sqrt {26} }}\)
B. \(\frac{{ - 4\hat i + 3\hat j + \hat k}}{{\sqrt {26} }}\)
C. \(\frac{{ - 3\hat i + 2\hat j - \hat k}}{{\sqrt {14} }}\)
D. \(\frac{{ - 3\hat i + 2\hat j + \hat k}}{{\sqrt {14} }}\)
Answer» C. \(\frac{{ - 3\hat i + 2\hat j - \hat k}}{{\sqrt {14} }}\)


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