What is the coordinates of point P ?
Given a straight line passes through the points #M(10,13)# and #N(4,-2)# . A point P divides the line segmen #MN# such that #2MN=3MP# . Find the coordinates of point P
Given a straight line passes through the points
1 Answer
Sep 4, 2017
Explanation:
#"taking a vector approach to the question"#
#2vec(MN)=3vec(MP)#
#rArr2(uln-ulm)=3(ulp-ulm)#
#rArr2uln-2ulm=3ulp-3ulm#
#rArr3ulp=2uln+ulm#
#color(white)(rArr3ulp)=2((4),(-2))+((10),(13))#
#color(white)(rArr3ulp)=((8),(-4))+((10),(13))=((18),(9))#
#rArrulp=1/3((18),(9))=((6),(3))#
#rArrP=(6,3)#