Physics - Vectors Question with Solution | TestHub

$$\begin{array}{l}\vec{A}=3\hat{i}-2\hat{j}+\hat{k}\\ \vec{B}=\hat{ı}-3\hat{ȷ}+5\hat{k}\\ \vec{C}=2\hat{ı}+\hat{ȷ}-4\hat{k}\end{array}$$ Here, $$\begin{array}{rl}\vec{A}& =(\hat{ı}-3\hat{ȷ}+5\hat{k})+(2\hat{ı}+\hat{ȷ}-4\hat{k})\\ & =(\vec{B}+\vec{c})\\ & =3\hat{ı}-2\hat{ȷ}+\hat{k}\\ \text{ Satisfied }\vec{A}=\vec{B}+\vec{C}& \end{array}$$ and $$\begin{array}{l}{A}^2=(\sqrt{14}{)}^2=14\\ B^2=35\\ C^2=21\\ \text{ So, }{B}^2=A^2+C^2\end{array}$$