Maharashtra BoardEnglish MediumSTD 11 SciencePhysicsMathematical Methods3 Marks
Question
Show that $\vec{A}=\frac{\hat{i}-\hat{j}}{\sqrt{2}}$ is a unit vector.
✓
Answer
Let $\hat{a}$ be unit vector of $s \vec{a}$. $\therefore \quad \hat{a}=\frac{\vec{a}}{|\vec{a}|}$ Now, $|\vec{a}|=\sqrt{a_x^2+a_y^2}=\sqrt{\left(\frac{1}{\sqrt{2}}\right)^2+\left(\frac{-1}{\sqrt{2}}\right)^2}=1$ $\therefore \quad \hat{a}=\frac{\vec{a}}{1} \Rightarrow \vec{a}$ itself is a unit vector.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.