You are given vectors A third vector, lies in the xy
Chapter 1, Problem 95CP(choose chapter or problem)
You are given vectors \(\vec{A}=5.0 \hat{\imath}-6.5 \hat{\jmath}\) and \(\overrightarrow{\boldsymbol{B}}=-3.5 \hat{\boldsymbol{\imath}}+7.0 \hat{\boldsymbol{j}}\). A third vector \(\overrightarrow{\boldsymbol{C}}\) lies in the xy-plane. Vector \(\overrightarrow{\boldsymbol{C}}\) is perpendicular to vector \(\overrightarrow{\boldsymbol{A}}\), and the scalar product of \(\overrightarrow{\boldsymbol{C}}\) with \(\overrightarrow{\boldsymbol{B}}\) is 15.0. From this information, find the components of vector \(\overrightarrow{\boldsymbol{C}}\).
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