Mathematics

Mathematics

Problem

Let A⃗=(i^+j^)\vec{A} = (\hat{i} + \hat{j}) and B⃗=(i^−j^)\vec{B} = (\hat{i} - \hat{j}) . The magnitude of a coplanar vector C⃗\vec{C} such that A⃗⋅C⃗=B⃗⋅C⃗=A⃗⋅B⃗\vec{A} \cdot \vec{C} = \vec{B} \cdot \vec{C} = \vec{A} \cdot \vec{B} is given by a. 59\sqrt{\frac{5}{9}} b. 109\sqrt{\frac{10}{9}} c. 209\sqrt{\frac{20}{9}} d. 912\sqrt{\frac{9}{12}}

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