Topic : vector

A force of 20 N acts on a particle along a direction making angle 37° with the vertical. Its component along horizontal direction is

Two non-zero vectors $\vec{A}$ and $\vec{B}$ are essentially perpendicular if

The resultant of two vectors $\vec{P}$ and $\vec{Q}$ makes an angle $\alpha$ with $\vec{P}$ and $\beta$ with $\vec{Q}$, then

The copy number of the linked DNA in the vector, is controlled by a sequence called as

Vector $\vec{A}$ has magnitude of 5 unit directed along east, then vector $6\vec{A}$

If the magnitude of two vectors are 4 unit and 6 unit and magnitude of their scalar product is 12√2 unit. What is the angle between the vectors?

Restriction site for PvuI in cloning vector, pBR322 is present in

RMS value of the current in a circuit given by $I = (5\sin \omega t + 7 \cos \omega t)A$, will be

If vectors $\vec{A}=\hat{i}-3\hat{j}+5\hat{k}$ and $\vec{B}=7\hat{i}+2\hat{j}-x\hat{k}$ are perpendicular to each other, then the value of $x$ is

If a foreign gene is inserted at Pvu I recognition site of E.coli cloning vector pBR322, then the transformed non-recombinants will be resistant to

A trolley car with a gun is moving along a straight line. If the bullet is fired with a muzzle velocity of 10 m/s in the backward direction at an angle of 37° with the horizontal, then the velocity of the trolley for which the bullet comes out vertically upwards, is

The vectors $\vec{a}$ and $\vec{b}$ each of magnitude $x$ are inclined to each other such that their resultant is equal to $\sqrt{3}x$. Then magnitude of the resultant of $\vec{a}$ and $-\vec{b}$ is