向量bp=1/4向量ba,若向量op=x向量oa+y向量ob,则x-y=
问题描述:
向量bp=1/4向量ba,若向量op=x向量oa+y向量ob,则x-y=
答
BP=(1/4)BA
OP=xOA+yOB
OB+BP =xOA+yOB
OB+(1/4)BA =xOA+yOB
OB+(1/4)(OA-OB)=xOA+yOB
(x-1/4)OA + (y -3/4)OB=0
x-1/4 =0 and y-3/4 =0
x=1/4 and y =3/4
=> x-y = -1/2