Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa

If the vectors \underset{AB}{\rightarrow} = 3\hat{i}+4\hat{k}  and    \underset{AC}{\rightarrow}  = 5\hat{i}-2\hat{j}+4\hat{k}  are the sides of a triangle ABC ,then the length of the median through A is :

  • Option 1)

    \sqrt{45}

  • Option 2)

    \sqrt{18}

  • Option 3)

    \sqrt{72}

  • Option 4)

    \sqrt{33}

 

Answers (1)

As learnt in concept

Mid point formula -

\frac{\vec{a}+\vec{b}}{2}

- wherein

If \vec{a} and \vec{b} , position vector of mid-point of AB

 \frac{\overrightarrow {AB}+\overrightarrow{AC}}{2}=\overrightarrow{AD}

\overrightarrow {AD}=4\vec{i}+\vec{j}+4\vec{k}

\left | \overrightarrow {AD} \right |=\sqrt{4^{2}+1^{2}+4^{2}}=\sqrt{33} 


Option 1)

\sqrt{45}

This option is incorrect 

Option 2)

\sqrt{18}

This option is incorrect 

Option 3)

\sqrt{72}

This option is incorrect 

Option 4)

\sqrt{33}

This option is correct 

Posted by

Sabhrant Ambastha

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

BTech Admission 2025 Live: JEE Mains, SRMJEEE, MET registrations underway; MHT CET syllabus updates
anam-khan

Centre issues coaching guidelines, prohibits centres from using false claims like '100% selection'
anam-khan

BTech Admissions 2025 Live: JEE Mains, SRMJEE, VITEEE dates out; AEEE, MET registrations underway

Latest Question