Q.The unit vector parallel to the resultant of the vectors $\vec{a} = 4\hat{i} + 3\hat{j} + 6\hat{k}$ and $\vec{b} = -\hat{i} + 3\hat{j} - 8\hat{k}$ is

\dfrac{3\hat{i} + 6\hat{j} - 2\hat{k}}{7}

\dfrac{3\hat{i} + 6\hat{j} - 2\hat{k}}{\sqrt{49}}

\dfrac{3\hat{i} + 6\hat{j} + 2\hat{k}}{7}

\dfrac{-3\hat{i} - 6\hat{j} + 2\hat{k}}{7}

The correct solution involves applying the fundamental concept to derive the final value step by step...

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Q.The unit vector parallel to the resultant of the vectors a⃗=4i^+3j^+6k^\vec{a} = 4\hat{i} + 3\hat{j} + 6\hat{k}a=4i^+3j^​+6k^ and b⃗=−i^+3j^−8k^\vec{b} = -\hat{i} + 3\hat{j} - 8\hat{k}b=−i^+3j^​−8k^ is