Matematické Fórum

Position vector of A , B and C are [mathjax]\hat{i}+\hat{j},3\hat{i}+\hat{j}[/mathjax] and [mathjax]2\hat{i}+2\hat{j}+\hat{k}[/mathjax] respectly


and [mathjax]P[/mathjax] is a point such that [mathjax]|\vec{CP}|=|\vec{CA}|[/mathjax] and [mathjax][\vec{PA}\; \vec{PB}\; \vec{PC}]=0[/mathjax]


and [mathjax]|\vec{PA}|=\sqrt{\frac{3}{2}}|\vec{PB}.|[/mathjax] THen position vector of point [mathjax]P[/mathjax].