on a line 与 on the same line

问题描述:

on a line 与 on the same line
two vectors lie on a line through the origin
可以理解成两个向量是在同一直线上吗
还是要理解成它们分别在两条过原点的直线上?

应该理解成“两个向量在过原点的同一直线上”.
“两个向量分别在两条过原点的直线上”的英文应该是:Two vectors lie respectively on different lines through the origin.