Write unit vector in the opposite direction to \(\bar u = 8\hat i + 3\hat j - \hat k\).
Q.2 (ii) Write unit vector in the opposite direction to \(\bar u = 8\hat i + 3\hat j - \hat k\).
Q.2 (ii) Write unit vector in the opposite direction to \(\bar u = 8\hat i + 3\hat j - \hat k\).
Best answer
Answer: \(\dfrac{-8\hat i - 3\hat j + \hat k}{\sqrt{74}}\)
\(|\bar u| = \sqrt{64 + 9 + 1} = \sqrt{74}\). The required unit vector is \(-\dfrac{\bar u}{|\bar u|} = -\dfrac{1}{\sqrt{74}}(8\hat i + 3\hat j - \hat k)\).
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