Vectors $\vec{a}=-4\hat{i}+3\hat{k};\vec{b}=14\hat{i}+2\hat{j}-5\hat{k}$ are laid off from one point. Vector $\hat{d}$ , which is being laid of from the same point dividing the angle between vectors $\vec{a}and\vec{b}$ in equal halves and having the magnitude $\sqrt{6},$ is a. $\hat{i}+\hat{j}+2\hat{k}$ b. $\hat{i}-\hat{j}+2\hat{k}$ c. $\hat{i}+\hat{j}-2\hat{k}$ d. $2\hat{i}-\hat{j}-2\hat{k}$

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