KcetVector AlgebraKCET 2026MCQ+1 / -02026If $\vec{a} = \hat{i} + \hat{j} + \hat{k}, \vec{b} = \hat{j} - \hat{k}$ and $\vec{a} \times \vec{c} = \vec{b}, \vec{a} \cdot \vec{c} = 3$, then $\vec{c}$ isA$\dfrac{5}{3}\hat{i} - \dfrac{2}{3}\hat{j} + \dfrac{2}{3}\hat{k}$B$\dfrac{5}{3}\hat{i} + \dfrac{2}{3}\hat{j} - \dfrac{2}{3}\hat{k}$C$\dfrac{5}{3}\hat{i} + \dfrac{2}{3}\hat{j} + \dfrac{2}{3}\hat{k}$D$-\dfrac{5}{3}\hat{i} + \dfrac{2}{3}\hat{j} + \dfrac{2}{3}\hat{k}$Check AnswerClear SelectionReveal AnswerShow Explanation
