If C is the midpoint of AB and P is any point | vedclass

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

Question

(B) Since $C$ is the midpoint of $AB$,we have $\overrightarrow{AC} + \overrightarrow{BC} = 0$,which implies $\overrightarrow{AC} = -\overrightarrow{BC

Vedclass · Accepted Answer

$\overrightarrow{PA} + \overrightarrow{PB} = 2\overrightarrow{PC}$

Vedclass · Answer

(B) Since $C$ is the midpoint of $AB$,we have $\overrightarrow{AC} + \overrightarrow{BC} = 0$,which implies $\overrightarrow{AC} = -\overrightarrow{BC}$ or $\overrightarrow{AC} = \overrightarrow{CB}$.Using the triangle law of vector addition in $	riangle PAC$ and $	riangle PBC$:$\overrightarrow{PA} = \overrightarrow{PC} + \overrightarrow{CA}$$\overrightarrow{PB} = \overrightarrow{PC} + \overrightarrow{CB}$Adding these two equations:$\overrightarrow{PA} + \overrightarrow{PB} = (\overrightarrow{PC} + \overrightarrow{CA}) + (\overrightarrow{PC} + \overrightarrow{CB})$$\overrightarrow{PA} + \overrightarrow{PB} = 2\overrightarrow{PC} + (\overrightarrow{CA} + \overrightarrow{CB})$Since $C$ is the midpoint of $AB$,$\overrightarrow{CA} = -\overrightarrow{CB}$,so $\overrightarrow{CA} + \overrightarrow{CB} = 0$.Therefore,$\overrightarrow{PA} + \overrightarrow{PB} = 2\overrightarrow{PC}$.

List-$I$	List-$II$
$(A)$ $P(E_2)$	$(i)$ $1/4$
$(B)$ $P(E_1 \cup E_2)$	$(ii)$ $5/8$
$(C)$ $P(\bar{E}_1 / \bar{E}_2)$	$(iii)$ $1/8$
$(D)$ $P(E_1 / \bar{E}_2)$	$(iv)$ $1/2$
	$(v)$ $3/8$
	$(vi)$ $3/4$

If $C$ is the midpoint of $AB$ and $P$ is any point outside $AB$,then:

Similar Questions

Two particles $A$ and $B$ initially at rest move towards each other under a mutual force of attraction. At the instant when the velocity of $A$ is $v$ and that of $B$ is $2v$,the velocity of the centre of mass of the system is

The equation of the parabola with focus $(0, 0)$ and directrix $x + y = 4$ is

Which of the following statements is correct for the peroxide ion $(O_2^{2-})$?
$A.$ It has completely filled antibonding molecular orbitals.
$B.$ It is diamagnetic.
$C.$ It has a bond order of $1$.
$D.$ It is isoelectronic with Neon.

Which of the following is a $\pi$-complex?

Vedclass Test Series

Exam Paper Generator

Online Exam Module