Question
Given vector $\overrightarrow A = 2\hat i + 3\hat j, $ the angle between $\overrightarrow A $and $y-$axis is
✓
Answer
(b) $\vec{A}=2 \hat{i}+3 \hat{j}$
$A=|\vec{A}|=\sqrt{4+9}=\sqrt{13}$
$\cos \beta=\frac{y}{A}=\frac{3}{\sqrt{13}}$
$\cos \beta=\frac{3}{\sqrt{13}}$
$\sin \beta=\frac{x}{A}=\frac{2}{\sqrt{13}}$
$\operatorname{Tan} \beta =\frac{x}{y}=\frac{2}{3}$
$=\tan ^{-1}\left(\frac{2}{3}\right)$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
A wave disturbance in a medium is described by $y(x,\,t) = 0.02\cos \,\left( {50\,\pi t + \frac{\pi }{2}} \right)\cos (10\pi x)$, where $ x$ and $y$ are in metres and $t$ in seconds
→A conducting bar of mass $m$ and length $l$ moves on two frictionless parallel rails in the presence of a constant uniform magnetic field of magnitude $B$ directed into the page as shown in the figure. The bar is given an initial velocity $v_{0}$ towards the right at $t=0$. then, the
→Polarising angle for water is $53^o 4'$. If light is incident at this angle on the surface of water and reflected, the angle of refraction is
→A small signal voltage $V(t) = V_0\,\, sin \omega \,t$ is applied across an ideal capacitor $C$
→Two cars $A$ and $B$ are moving with same speed of $45\,km/h$ along same direction. If a third car $C$ coming from the opposite direction with a speed of $36\,km/h$ meets two cars in an interval of $5\,min,$ the distance of separation of two cars $A$ and $B$ should be.......$km$
→Cannizaro' s reaction is not given by
Two stream of photons, possessing energies equal to twice and ten times the work function of metal are incident on the metal surface successively. The value of ratio of maximum velocities of the photoelectrons emitted in the two respective cases is $x: y .$ The value of $x$ is ...... .
→The graph below shows the variation of a force $F$ with time $t$ on a body which is moving in a straight line. Dependence of force on time is $F \propto t^{n}$. Initially body is at rest. If the speed of the object is $2 \,m / s$ at $3 \,s$, then the speed at $4 \,s$ will be approximately (in $m / s$ )
→The magnetic flux linked with a vector area $\overrightarrow A $ in a uniform magnetic field $\overrightarrow B $ is
→Accuracy of measurement is determined by