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Problem The position vector of the image of the point with position vector a \mathbf{a} a r ⋅ n ^ = d \mathbf{r}\cdot\hat{\mathbf{n}}=d r ⋅ n ^ = d d ≠ 0 d\ne0 d = 0 − a ⋅ n ^ -\mathbf{a}\cdot\hat{\mathbf{n}} − a ⋅ n ^ a − 2 ( d − a ⋅ n ^ ) n ^ \mathbf{a}-2(d-\mathbf{a}\cdot\hat{\mathbf{n}})\hat{\mathbf{n}} a − 2 ( d − a ⋅ n ^ ) n ^ a + 2 ( d − a ⋅ n ^ ) n ^ \mathbf{a}+2(d-\mathbf{a}\cdot\hat{\mathbf{n}})\hat{\mathbf{n}} a + 2 ( d − a ⋅ n ^ ) n ^ a + d ( − a ⋅ n ^ ) \mathbf{a}+d(-\mathbf{a}\cdot\hat{\mathbf{n}}) a + d ( − a ⋅ n ^ ) Browse the problem library