定义向量的外积:
叫做向量
与
的外积,它是一个向量,满足下列两个条件:
①
,
且
、
和
构成右手系(即三个向量两两垂直,且依次与拇指、食指,中指的指向一致)
②
的模
,(
表示向量
,
的夹角).
如图,在正方体
中,有以下四个结论:
![](https://img.xkw.com/dksih/QBM/2021/7/13/2763365010038784/2768138108485632/STEM/dd5619a8bb7d4105b1d83ddc16b280d3.png?resizew=187)
①
与
方向相反;
②
;
③
与正方体表面积的数值相等;
④
百与正方体体积的数值相等.
这四个结论中,正确的结论共有( )个
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dc11d170d9af305d1961166be479996.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6260e485210e6188d51484d74422fe12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ede1936d32ea8ba6af8c20aa187a3095.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dc11d170d9af305d1961166be479996.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dc11d170d9af305d1961166be479996.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bc408bed1764a106881810bf0a38652.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfaf8279481e31e730f866dd047f9224.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
如图,在正方体
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://img.xkw.com/dksih/QBM/2021/7/13/2763365010038784/2768138108485632/STEM/dd5619a8bb7d4105b1d83ddc16b280d3.png?resizew=187)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cff4a02e1633164e66fcb5a4d034d4a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/189ef62c16729f999812571ea3fcc780.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f94802aad16ab6dc45bafa1219762fc.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/567907023bf1880479ed1a0b0532b1d9.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bde3b9add447985fa23685162253bf56.png)
这四个结论中,正确的结论共有( )个
A.4 | B.3 | C.2 | D.1 |
19-20高二下·上海金山·期末 查看更多[2]
更新时间:2021-07-20 08:54:18
|
【知识点】 向量新定义
相似题推荐
单选题
|
适中
(0.65)
名校
【推荐1】定义
.若向量
,向量
为单位向量,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a10bbbb610020a2eb32b97723f7b0b35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d1c7c662ddd89c6933a7ef833c2d461.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee437e6ff470c2f67b8429f57b90ae37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/516834df4d567c6d385afd6b44860ebc.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
单选题
|
适中
(0.65)
【推荐2】已知对任意平面向量
,把
绕其起点沿逆时针方向旋转
角得到向量
,叫做把点B绕点A沿逆时针方向旋转
角得到点P.已知平面内点
,点
,把点B绕点A沿顺时针方向旋转
得到点P,则点P的坐标为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95358d95291a2f2b6f5ab88280b6a07f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9795e7f5cb9b366776c41d8f3f43942.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fea8e1646f9df43d0c9a2dd6e6d5851.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/115a0c87ac14dbb770c95d74d6e26073.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/466e8c438084aef563c6aaeff3bca583.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09736df210a4ec4692c56478cb80ead0.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次