Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa

Magnitude of vector from point A with position vector 3\hat{i}-4\hat{j}+\hat{k}  to point B with position vector \hat{i}+2\hat{j}+4\hat{k}

Option: 1

5 units


Option: 2

6 units


Option: 3

8 units


Option: 4

7 units


Answers (1)

best_answer

As we learned

Magnitude of a Vector -

The length of the directed line segment \overrightarrow{AB} is called its magnitude.

- wherein

It is denoted by \mid \overrightarrow{AB\mid }

 

 \overrightarrow{OA}=3\hat{i}-4\hat{j}+\hat{k}\, ;\, \, \overrightarrow{OB}=\hat{i}+2\hat{j}+4\hat{k}

\overrightarrow{AB}=\overrightarrow{OB}-\overrightarrow{OA}=-2\hat{i}+6\hat{j}+3\hat{k}

\therefore \left | \overrightarrow{AB} \right |=\sqrt{\left ( -2^ \right )^{2}+(6)^{2}+(3)^{2}}=7

\therefore Option (D)

 

Posted by

vinayak

View full answer

JEE Main high-scoring chapters and topics

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

Similar Questions