1. Tardigrade
  2. Question
  3. Mathematics
  4. Let ABCDEF be a regular hexagon and AB = veca, BC= vecb, CD= vecc then AE is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. Let $ABCDEF$ be a regular hexagon and $\overrightarrow{AB} = \vec{a}, \overrightarrow{BC}=\vec{b}, \overrightarrow{CD}=\vec{c}$ then $\overrightarrow{AE}$ is

Vector Algebra

Solution:

image
$\overrightarrow{AD}=\vec{a}+\vec{b}+\vec{c}$
$\overrightarrow{DE}=-\vec{a} $
$\therefore \overrightarrow{AE}=\overrightarrow{AD}+\overrightarrow{DE}$
(by the rule of vector addition)
$=\vec{b}+\vec{c}$