Given the vectors
vec{A}=2hat{i}+3hat{j}-hat{k}, vec{B}=3hat{i}-2hat{j}-2hat{k}, vec{C}=phat{i}+phat{j}+2phat{k}, Find the angle between left( vec{A}-vec{B} ight)~And ~vec{C} a) heta ={{cos }^{1}}left( frac{2}{sqrt{3}} ight) b) heta ={{cos }^{1}}left( frac{sqrt{3}}{2} ight) c) heta ={{cos }^{1}}left( frac{sqrt{2}}{3} ight) d) None of these
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