MCQ
If $ a$ and $b$ are unit vectors such that $a \times b$ is also a unit vector, then the angle between $a$ and $ b$ is
- A$0$
- B$\frac{\pi }{3}$
- ✓$\frac{\pi }{2}$
- D$\pi $
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$f(x)=\min \{x-[x], 1+[x]-x\}$
where $[\mathrm{x}]$ is the greatest integer less than or equal to $\mathrm{x}$. Let $\mathrm{P}$ denote the set containing all $x \in[0,3]$ where $f$ is discontinuous, and $Q$ denote the set containing all $x \in(0,3)$ where $f$ is not differentiable. Then the sum of number of elements in $\mathrm{P}$ and $\mathrm{Q}$ is equal to $......$
$ \frac { \pi }{ 4 }$
$ \frac { \pi }{ 5 }$
$ \frac { \pi }{ 6 }$
$ \frac { \pi }{ 8 }$