08-1叉积的标准介绍 · b站_线性代数的本质

**叉积的值** 下图平形四边形的面积，v要在向量w的右边 ![](https://img.kancloud.cn/06/15/061589531122023f5cef71a0c1c44b75_1205x705.png) v在w的左边，叉积的值为负 ![](https://img.kancloud.cn/58/59/58592726db89d1395889c1077b2a74a3_1199x706.png) ***** ![](https://img.kancloud.cn/68/6c/686c579ea248f5cf0d129537427b4b97_1146x668.png) ![](https://img.kancloud.cn/e1/05/e10523bab48fb57da835e586dad358a3_1325x728.png) ***** 用行列式计算围成的四边形面积, v向量的左边放在第一列，w向量坐标放在第二列 ![](https://img.kancloud.cn/7f/7a/7f7a38275263a381c19f5d2b08ceb6de_1334x656.png) ![](https://img.kancloud.cn/0c/6b/0c6b4e4e5d50528f479010e5bad19379_1108x730.png) ![](https://img.kancloud.cn/a5/f5/a5f599ea54d38350ad542f78fc6f87ad_1270x622.png) ***** ![](https://img.kancloud.cn/e2/df/e2df213bed104ca7802ffcc15ae7d7b9_783x56.png) ![](https://img.kancloud.cn/a9/9b/a99ba2727a92cca76fe19f854a9e0e73_1398x698.png) ![](https://img.kancloud.cn/49/6d/496dc0d85a6131ae894ff7dc2ea1e5db_1345x710.png) ![](https://img.kancloud.cn/b2/d1/b2d1362e9ad08c2d385fe8d509f4ba4b_1293x681.png) 用右手定则确定叉积的方向 ![](https://img.kancloud.cn/88/5e/885e740a8cc0f5a1306dd0f296d27de9_1326x622.png) **求叉积的运算** ![](https://img.kancloud.cn/f7/66/f7660b7931232c480c36075ff7dd797d_913x463.png) ![](https://img.kancloud.cn/cc/bb/ccbbd266d33e271cabb7cf2b7c76510e_1342x657.png) ![](https://img.kancloud.cn/10/89/10899b490896b5f33d7542497fc54af6_1012x518.png) ![](https://img.kancloud.cn/ba/a8/baa84d4d90f6188a4e587a368e43b15c_1355x717.png) ![](https://img.kancloud.cn/cc/f2/ccf24ab39bd3c9313eba856c27a322aa_1322x647.png) ![](https://img.kancloud.cn/d3/52/d352c28af243cff02cf62c1daf78b600_1341x717.png)