Solve this : 20 Two vectors j^+k^ and 3i^-j^+4k^ represent two side vectors AB→ AC→ respectively - Maths - Vector Algebra

Question

Solve this :

20 Two vectors j ^ + k ^   and   3 i ^ - j ^ + 4 k ^
represent two side vectors AB →   &   AC
→ respectively of the triangle ABC Find the length of the
median through A

Aarushi Mishra · Accepted Answer

<img alt="" src=
"https://s3mn%20mnimgs%20com/img/shared/content_ck_images/ck_5a93be2004776%20png"
style="width: 562px; height: 429px;">
Let D be the midpoint of BC
 AD will be medianAB→+BC→=AC→BC→=AC→-AB→=3i^-j^+4k^-j^+k^BC→=3i^-2j^+3k^BD→=12BC→=123i^-2j^+3k^AD→=AB→+BD→=j^+k^+123i^-2j^+3k^=j^+k^+32i^-j^+32k^=32i^+52k^AD→=32i^+52k^=9+254=344=342

Solve this : 20. Two vectors j ^ + k ^ and 3 i ^ - j ^ + 4 k ^ represent two side vectors AB → & AC → respectively of the triangle ABC. Find the length of the median through A.

Solve this :

20. Two vectors $\hat{j} + \hat{k} and 3 \hat{i} - \hat{j} + 4 \hat{k}$ represent two side vectors $\vec{AB} & \vec{AC}$ respectively of the triangle ABC. Find the length of the median through A.