A) Angle between A and B is \[0{}^\circ \]
B) Angle between A and B is \[90{}^\circ \]
C) Angle between A and B is greater than \[{{90}^{o}}\]
D) Angle between A and B is less than \[{{90}^{o}}\]
Correct Answer: B
Solution :
As \[A.B=AB\,\cos \theta \] \[(3\hat{i}-5\hat{j}+5\hat{k}).(5\hat{i}-\hat{j}-4\hat{k})=AB\,\cos \theta \] \[\Rightarrow \] \[15+5-20=AB\,\cos \theta =0\] \[\cos \theta ={{90}^{o}}\] \[(\therefore \,\,AB\ne 0)\] Hence, angle between A and B is \[{{90}^{o}}\]
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