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Three Dimensional Geometry

AP EAPCET 2025 - 26th May Morning Shift

MCQ+1 / -02025

If the line joining the points $\hat{\mathbf{i}}+2 \hat{\mathbf{j}}$ and $\hat{\mathbf{j}}-2 \hat{\mathbf{k}}$ intersects the plane passing through the points $2 \hat{\mathbf{i}}-\hat{\mathbf{j}}, 2 \hat{\mathbf{j}}+3 \hat{\mathbf{k}}$ and $\hat{\mathbf{k}}-2 \hat{\mathbf{i}}$ at $\mathbf{r}$, then $\mathbf{r} \cdot(\hat{\mathbf{i}}+\hat{\mathbf{j}}+\hat{\mathbf{k}})=$

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