Prove that the points with the position vectorsrA = (2,2), rB = (-1,6), rC = (-5,3) and rD = (-2,-1) in the (xy)-plane are the vertices of a square.
It helps if you plotted the points.Prove that the points with the position vectors:
in the xy-plane
are the vertices of a square.
Code:B | (-1,6)* | | C | (-5,3) * | A | *(2,2) | - - - - - - - - + - - - - - - ( -2,-1)* | D |
We have: .
. . Quadrilateral is a rhombus.
. . Hence: .
Therefore, is a square.