If the sum of two unit vectors is also a unit | vedclass

Name: PDF Generator App | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(b)

$|\vec{R}|=|\vec{A}+\vec{B}|=\sqrt{A^2+B^2+2 A B \cos 	heta}$

$|\vec{A}|=|\vec{B}|=|\vec{R}|=1$

$1=1+1+2 	imes 1 	imes 1 	imes \cos \

Vedclass · Accepted Answer

$\sqrt{3}, 120^{\circ}$

Vedclass · Answer

(b)

$|\vec{R}|=|\vec{A}+\vec{B}|=\sqrt{A^2+B^2+2 A B \cos 	heta}$

$|\vec{A}|=|\vec{B}|=|\vec{R}|=1$

$1=1+1+2 	imes 1 	imes 1 	imes \cos 	heta$

$\cos 	heta=-\frac{1}{2} \Rightarrow 	heta=120^{\circ}$

$|\vec{R}|=|\vec{A}-\vec{B}|=\sqrt{A^2+B^2-2 A B \cos 120^{\circ}}$

$=\sqrt{1^2+1^2-2 	imes 1 	imes 1 	imes\left(-\frac{1}{2}ight)}=\sqrt{3}=|\vec{A}-\vec{B}|$

If the sum of two unit vectors is also a unit vector. then magnitude of their difference and angle between the two given unit vectors is ..............

Similar Questions

If $\vec A$ and $\vec B$ are two non-zero vectors such that $\left| {\vec A + \vec B} \right| = \frac{{\left| {\vec A - \vec B} \right|}}{2}$ and $\left| {\vec A} \right| = 2\left| {\vec B} \right|$ then the angle between $\vec A$ and $\vec B$ is

In an octagon $ABCDEFGH$ of equal side, what is the sum of $\overrightarrow{ AB }+\overrightarrow{ AC }+\overrightarrow{ AD }+\overrightarrow{ AE }+\overrightarrow{ AF }+\overrightarrow{ AG }+\overrightarrow{ AH }$ if, $\overrightarrow{ AO }=2 \hat{ i }+3 \hat{ j }-4 \hat{ k }$

Which of the following is independent of the choice of co-ordinate system

Two forces ${F_1} = 1\,N$ and ${F_2} = 2\,N$ act along the lines $x = 0$ and $y = 0$ respectively. Then the resultant of forces would be

Two forces are such that the sum of their magnitudes is $18\; N$ and their resultant is $12\; N$ which is perpendicular to the smaller force. Then the magnitudes of the forces are