Considertheplanethatisparalleltothevectorsv=(1,2,0)andu=(2,0,−1)andpassesthroughthepointP(1,1,−1).Findavectorequationforthelinethroughtheoriginwithadirectionvectorthatisnormaltothisplane.

Question

Consider the plane that is parallel to
the vectors v = (1,2,0) and u = (2,0,−1) and passes through the point P(1,
1,−1).Find a vector equation for the line through the origin with a direction
vector that is normal to this plane.

Answer 1

与平面垂直的向量
v×u=（-2,1,-4）
过原点的直线 x/-2=y/1=z/-4
OK?