矢量代数又叫计算几何，是计算理论科学的一个重要分支。
本文用矢量代数法推导出刀具刀尖安装得较高或较低时工作角度的计算公式。
In this paper, the formulas of working angles of the cutting tool for tool nose locating position changes are derived from vector method.
利用矢量代数的方法，推导出以方向余弦为参量的物坐标系到世界坐标系的坐标变换矩阵；利用矩阵求逆的方法，推导出世界坐标系到物坐标系的坐标变换矩阵。
The coordinate transformation matrix based on the direction cosine parameters from the object coordinate system to the world coordinate system is derived by vector algebra.
把量纲概念与矢量空间联系起来，提出用线性代数进行量纲分析的方法，并举例说明。
The concept of dimension is connected with vector space, a linear algebraic method for dimensional analysis is proposed, some examples are given.
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