Question

Write the value $\left(\hat{i}\times \hat{j}\right)·\hat{k}+\hat{i}·\hat{j}.$

Answer 1

$$\begin{gathered} \left(\hat{i}\times \hat{j}\right).\hat{k}+\hat{i}.\hat{j} \\ =\hat{k}.\hat{k}+0 \\ ={\left|\hat{k}\right|}^2+0 \\ =1^2+0(\because \left|k\right|=1) \\ =1 \end{gathered}$$