MCQ
Let a vector $\vec{\text{r}}$ make angles $60^\circ , 30^\circ $ with it and $y-$axes respectively. Find the angle $\vec{\text{r}}$ make with $z-$axis:
- A$30^\circ $
- B$60^\circ $
- ✓$90^\circ $
- D$120^\circ $
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$f(x)=\min \{x-[x], 1-x+[x]\}$
$g(x)=\max \{x-[x], 1-x+[x]\}$
where $[x]$ denotes the largest integer not exceeding $x$ :
The positive integer $n$ for which
$\int_0^n(g(x)-f(x)) d x=100$ is