Find the centre of the circle given by and .

MATHEMATICS · Subjective · ISC · Mathematics · Three-Dimensional Geometry · Three-Dimensional Geometry

Problem

Find the centre of the circle given by r⋅(i^+2j^+2k^)=15\mathbf{r} \cdot (\hat{i} + 2\hat{j} + 2\hat{k}) = 15 and ∣r−(j^+2k^)∣=4|\mathbf{r} - (\hat{j} + 2\hat{k})| = 4 .

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