If a, b, c are the position vectors of the ve | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) The centroid of a triangle is the point where the three medians intersect. If the position vectors of the vertices $A, B,$ and $C$ are given by $\

Vedclass · Accepted Answer

$\frac{a + b + c}{3}$

Vedclass · Answer

(A) The centroid of a triangle is the point where the three medians intersect. If the position vectors of the vertices $A, B,$ and $C$ are given by $\vec{a}, \vec{b},$ and $\vec{c}$ respectively,the position vector of the centroid $G$ is calculated as the arithmetic mean of the position vectors of the vertices. Therefore,the position vector of the centroid $G$ is given by $\vec{g} = \frac{\vec{a} + \vec{b} + \vec{c}}{3}.$ Thus,the correct option is $A$.

If $a, b, c$ are the position vectors of the vertices $A, B, C$ of the triangle $ABC,$ then the centroid of $\Delta ABC$ is

Similar Questions

If $\vec{a}, \vec{b}, \vec{c}$ are the position vectors of points $A, B, C$ respectively,and $D$ is the midpoint of $BC$,then $\vec{AD} = \dots$

If $D, E, F$ are the midpoints of the sides $BC, CA$ and $AB$ of the triangle $ABC$,then $\overrightarrow{AD} + \overrightarrow{BE} + \overrightarrow{CF}$ is:

Write two different vectors having the same direction.

The perimeter of a triangle with sides represented by vectors $\vec{a} = 3\hat{i} + 4\hat{j} + 5\hat{k}$,$\vec{b} = 4\hat{i} - 3\hat{j} - 5\hat{k}$,and $\vec{c} = 7\hat{i} + \hat{j}$ is:

Let $A, B, C$ be distinct points with position vectors $\hat{i} + \hat{j}$,$\hat{i} - \hat{j}$,and $p\hat{i} - q\hat{j} + r\hat{k}$ respectively. If points $A, B, C$ are collinear,then which of the following can be correct?

Vedclass Test Series

Exam Paper Generator

Online Exam Module