Mathematics - Vector Question with Solution | TestHub

for a unit cube unit vector along the diagonal $$\mathrm{OP}=\frac{1}{\sqrt{3}}(\hat{\mathrm{i}}+\hat{\mathrm{j}}+\hat{\mathrm{k}})$$
unit vector along the diagonal $\mathrm{CD}=\frac{1}{\sqrt{3}}(\hat{\mathrm{i}}+\hat{\mathrm{j}}-\hat{\mathrm{k}})$ $\therefore \cos \theta =\frac{1}{3}(1+1-1)=\frac{1}{3}\therefore \tan \theta =2\sqrt{2}$