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
When an $\alpha -$particle of mass $m$ moving with velocity $v$ bombards on a heavy nucleus of charge $Z_e$ , its distance of closest approach from the nucleus depends on $m$ as
→Which of the following components of a $LCR$ circuit, with $ac$ supply, dissipates energy
→One solid sphere and disc of same radius are falling along an inclined plane without slipping. One reaches earlier than the other due to
A uniform square plate $S$ (side $c$) and a uniform rectangular plate $R$ (sides $b$, $a$) ($a > b$) have identical areas and masses figure. Which of the following is correct
→$(a)\ I_{xR}/I_{xS} <1;\ (b)\ I_{yR}/I_{yS} >1; \ (c)\ I_{zR}/I_{zS} >1$
A block of mass $2\,kg$ moving on a horizontal surface with speed of $4\,ms ^{-1}$ enters a rough surface ranging from $x =0.5\,m$ to $x =1.5\,m$. The retarding force in this range of rough surface is related to distance by $F =- kx$ where $k =12\,Nm ^{-1}$. The speed of the block as it just crosses the rough surface will be ........... $\,ms ^{-1}$
→Paraldehyde is
A glass capillary tube of inner diameter $0.28 \,mm$ is lowered vertically into water in a vessel. The pressure to be applied on the water in the capillary tube so that water level in the tube is same as that in the vessel is ............ $\times 10^3$ (surface tension of water $=0.07 \,N / m$ and atmospheric pressure $\left.=10^5 \,N / m ^2\right)$.
→In gases of diatomic molecules, the ratio of the two specific heats of gases ${C_P}/{C_V}$ is
→A body of mass $3\, kg$ is under a constant force which causes a displacement $s$ in metres in it, given by the relation $s=$$\frac{1}{3}{t^2}$ , where $t$ is in seconds. Work done by the force in $2$ seconds is
→A charge $Q$ is distributed over three concentric spherical shell of radii $a, b, c (a < b < c)$ such that their surface charge densities are equal to one another. The total potential at a point at distance $r$ from their common centre, where $r < a$, would be
→