Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Need solution for RD Sharma Maths Class 12 Chapter 22 Algera of Vectors Excercise 22.6 Question 14

Need solution for RD Sharma Maths Class 12 Chapter 22 Algera of Vectors Excercise 22.6 Question 14

Answers (1)

Answer:

(3,2,1)

Hint:

Mid – point  =\frac{ \vec{OP}+ \vec{OQ}}{2}

Given:

The points are  P(2,3,4) \text { and } Q(4,1,-2)

Solution:

\begin{aligned} &O \vec{P}=2 \hat{\imath}+3 \hat{\jmath}+4 \hat{k} \\ &\vec{OQ}=4 \hat{\imath}+\hat{\jmath}-2 \hat{k} \end{aligned}

Let R the mid - point of the line joining the point P and Q.

\begin{aligned} &\therefore O \vec{R}=\frac{O \vec{P}+O \vec{Q}}{2} \\ &=\frac{(2 \hat{\imath}+3 \hat{\jmath}+4 \hat{k})+(4 \hat{\imath}+\hat{\jmath}-2 \hat{k})}{2} \end{aligned}
\begin{aligned} &=\frac{6 \hat{\imath}+4 \hat{j}+2 \hat{k}}{2} \\ &=3 \hat{i}+2 \hat{j}+\hat{k} \end{aligned}

∴The mid – point are  \left ( 3,2,1 \right )

Posted by

infoexpert27

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

CBSE results 2024 later for 102 students over fake certificates; board issues show cause notice
anam-khan

What after CBSE Class 12 results 2024? From CUET UG to JEE Advanced, all you need to know
anam-khan

CBSE Results 2024: Maximum full marks scorers in Class 10 mathematics, 12th painting

Latest Question