If a = i + 2k, b = i + j + k, c = 7i - 3j + 4k, and r × b + b × c… | JEE Main 2023 Mathematics PYQ

MCQMediumJEE Main 2023 · 29 January, Shift 2Cross Product

If $\vec{a} = \hat{i} + 2\hat{k}, \vec{b} = \hat{i} + \hat{j} + \hat{k}, \vec{c} = 7\hat{i} - 3\hat{j} + 4\hat{k}$ , and

\vec{r} \times \vec{b} + \vec{b} \times \vec{c} = 0 \quad \text{and} \quad \vec{r} \cdot \vec{a} = 0

then $\vec{r} \cdot \vec{c}$ is equal to:

Answer & step-by-step solution

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