With respect to the origin $$\(O\)$$, the points $$\(A\)$$ and $$\(B\)$$ have position vectors given by $$\(\overrightarrow{O A}=2 \mathbf{i}-\mathbf{j}\)$$ and  $$\(\overrightarrow{O B}=\mathbf{j}-2 \mathbf{k}\)$$ Show that $$\(O A=O B\)$$ and use a scalar product to calculate angle $$\(A O B\)$$ in degrees. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................

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