1.The vector equation of the plane r=i^−j^+λ(i^+j^+k^)+μ(i^−2j^+3k^)\mathbf{r} = \hat{\mathbf{i}}-\hat{\mathbf{j}}+\lambda(\hat{\mathbf{i}}+\hat{\mathbf{j}}+\hat{\mathbf{k}})+\mu(\hat{\mathbf{i}}-2\hat{\mathbf{j}}+3\hat{\mathbf{k}})r=i^−j^+λ(i^+j^+k^)+μ(i^−2j^+3k^) in scalar dot product form isa.r⋅(5i^−2j^+3k^)=7\mathbf{r}\cdot(5\hat{\mathbf{i}}-2\hat{\mathbf{j}}+3\hat{\mathbf{k}})=7r⋅(5i^−2j^+3k^)=7b.r⋅(5i^+2j^−3k^)=7\mathbf{r}\cdot(5\hat{\mathbf{i}}+2\hat{\mathbf{j}}-3\hat{\mathbf{k}})=7r⋅(5i^+2j^−3k^)=7c.r⋅(5i^−2j^−3k^)=7\mathbf{r}\cdot(5\hat{\mathbf{i}}-2\hat{\mathbf{j}}-3\hat{\mathbf{k}})=7r⋅(5i^−2j^−3k^)=7d.r⋅(5i^+2j^+3k^)=7\mathbf{r}\cdot(5\hat{\mathbf{i}}+2\hat{\mathbf{j}}+3\hat{\mathbf{k}})=7r⋅(5i^+2j^+3k^)=7Login to continueOnly logged in users canattempt or see the solution.
