Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • Position vector of the point, which divides join of the points having position vectors <img alt="\hat{i}+2\hat{j}+\hat{k}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Chat%7Bi%7D&plu

Position vector of the point, which divides join of the points having position vectors \hat{i}+2\hat{j}+\hat{k} and -\hat{i}-\hat{j}+2\hat{k} internally in ratio 2:1 is

Option: 1

\frac{1}{3}(-\hat{i}+5\hat{k})


Option: 2

\frac{1}{3}(\hat{i}-5\hat{k})


Option: 3

\frac{1}{3}(-\hat{i}-5\hat{k})


Option: 4

\frac{1}{3}(\hat{i}+5\hat{k})


Answers (1)

best_answer

Let \vec{a}=\hat{i}+2\hat{j}+\hat{k}, \, \, \vec{b}=-\hat{i}-\hat{j}+2\hat{k} 

And m : n = 2 : 1

\therefore \vec{r }=\frac{1(\hat{i}+2\hat{j}+\hat{k})+2(-\hat{i}-\hat{j}+2\hat{k})}{1+2}= \frac{-\hat{i}+5\hat{k}}{3}

So, option (A)

Posted by

Pankaj Sanodiya

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

Kota: NTA JEE aspirant jumps from flyover; police suspects suicide
anam-khan

Indian Navy Recruitment 2026: Applications open for 10+2 BTech Cadet entry scheme; selection via JEE Main 2026
anam-khan

Student Suicides: NTF interim report flags impact of NEET, JEE-type exams on mental health

Latest Question