The sum of the distinct real values of $\mu$,for which the vectors $\mu \hat{i}+\hat{j}+\hat{k}$,$\hat{i}+\mu \hat{j}+\hat{k}$,and $\hat{i}+\hat{j}+\mu \hat{k}$ are coplanar is

Which is the major product of the following reaction?

$1+\frac{2}{4}+\frac{2 \cdot 5}{4 \cdot 8}+\frac{2 \cdot 5 \cdot 8}{4 \cdot 8 \cdot 12}+\frac{2 \cdot 5 \cdot 8 \cdot 11}{4 \cdot 8 \cdot 12 \cdot 16}+\ldots \ldots$ is equal to :

$A$ particle of mass $m$ and charge $q$ moves with a constant velocity $v$ along the positive $x$ direction. It enters a region containing a uniform magnetic field $B$ directed along the negative $z$ direction,extending from $x = a$ to $x = b$. The minimum value of $v$ required so that the particle can just enter the region $x > b$ is

Genes of interest can be selected from a genomic library by using

The equation of the tangent to the curve $6y = 7 - x^3$ at the point $(1, 1)$ is: