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प्रश्न
Find the unit vector in the direction of \[3 \hat{i} + 4 \hat{j} - 12 \hat{k} .\]
उत्तर
Let \[\vec{a} = 3 \hat{i} + 4 \hat{j} - 12 \hat{k} .\]
Then,
\[\left| \vec{a} \right| = \sqrt{3^2 + 4^2 + \left( - 12 \right)^2} = \sqrt{9 + 16 + 144} = \sqrt{169} = 13\]
So, a unit vector in the direction of \[\vec{a}\] is given by
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