Question

Three vectors P, Q and Ř are shown in the figure.
Let S be any point on the vector Ř The distance
between the point P and S is | Ř |. The general relation
among vectors P, and Ŝ is :
(JEE Advanced - 2017)

Options:
A) S=(b-1)P+bQ
B) S=(1-b²)P+bQ
C) S=(1-b)P+b²Q
D) S=(1-b)P+bQ
​

Answer 1

Answer:

Given,

Three vectors  

P

,  

Q

​  

,  

R

 

distance=b∣  

R

∣

Since S is the point on  

R

 

So,

P

+b∣  

R

∣  

R

 

P

+b∣  

R

∣(  

∣R∣

R

 

​  

)

P

+b  

R

 

P

+b(Q−  

P

)

(1−b)(  

P

)+b  

Q

​

Explanation: