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判断下列点是否在直线上:点P(1,-2,-1),直线过点A(-1,-4,1)和B(2,1,2)

题目详情
判断下列点是否在直线上:点P(1,-2,-1),直线过点A(-1,-4,1)和B(2,1,2)
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答案和解析
equation of PA
x:y:z = (-1-1):(-4+2):(1+1)
= -2:-2:2
= 1:1:-1
equation of AB
x:y:z = (2+1):(1+4):(2-1)
= 3:5:1
A is NOT on PA