求翻译：向量的概念向量的线性运算向量的数量积和向量积向量的混合积两向量垂直、平行的条件两向量的夹角向量的坐标表达式及其运算单位向量方向数与方向余弦曲面方程和空间曲线方程的概念平面方程、直线方程平面与平面、平面与直线、直线与直线的以及平行、垂直的条件点到平面和点到直线的距离球面母线平行于坐标轴的柱面旋转轴为坐标轴的旋转曲面的方程常用的二次曲面方程及其图形空间曲线的参数方程和一般方程空间曲线在坐标面上的投影曲线方程是什么意思？

The concept of a linear vector operations vector vector vector scalar product and vector product of two vectors perpendicular hybrid product, the conditions for parallel vector angle between two vectors of the coordinate expression of several computing unit vector and the direction cosine surface eq

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The vector concept vector linear operation vector scalar product and the cross product vector parallelopipedal product two vectors vertical, the parallel condition two vector included angle vector coordinates expression and the operation unit vector direction number and the direction cosine curved s

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