MCQ
If $\hat{i}, \hat{j}, \hat{k}$ are unit vectors along three mutually perpendicular directions, then
- A$\hat{i} \cdot \hat{j}=1$
- B$\hat{i} \times \hat{j}=1$
- C$\hat{ i } \cdot \hat{ k }=0$
- D$\hat{ i } \times \hat{ k }=0$
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Let $x _1< x _2< x _3<\ldots< x _{ n }<\ldots$ be all the points of local maximum of $f$ and $y_1$
$(1)$ $\left|x_n-y_n\right|>1$ for every $n$
$(2)$ $x_1 < y _1$
$(3)$ $x_n \in\left(2 n , 2 n +\frac{1}{2}\right)$ for every $n$
$(4)$ $x_{n+1}-x_n>2$ for every $n$