Practicing Success
If the sum of two unit vectors is a unit vector, then angle between them is |
\(\frac{\pi}{3}\) \(\frac{\pi}{4}\) \(\frac{3\pi}{4}\) \(\frac{2\pi}{3}\) |
\(\frac{2\pi}{3}\) |
Let , \(|\vec{a}|=1,|\vec{b}|=1,|\vec{a}+\vec{b}|=1\) then \(|\vec{a}+\vec{b}|^2=1\hspace{7 cm}\) \(\begin{aligned}|a|^{2}+|b|^{2}+2|a||b|\cos \theta &=1\\ \cos \theta &=\frac{1}{2}\\ \theta&=120\end{aligned}\) |