Show that the points whose position vectors are \( \vec{a}=4 \hat{i}-3 \hat{j}+\hat{k}, \vec{b}=...

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Show that the points whose position vectors are \( \vec{a}=4 \hat{i}-3 \hat{j}+\hat{k}, \vec{b}=2 \hat{i}-4 \hat{j}+5 \hat{k} \) \( \vec{c}=\hat{i}-\hat{j} \) form a right triangle.
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