01 Vectors and Geometry in Space

1.1 test

1、判断题:
‎For vector a={3, 2, 1}, the coordinates of its starting point A is {-3, -2, -1}, then the coordinates of its end point B is {1, 2, 3}.‎
选项:
A: 正确
B: 错误
答案: 【 错误

2、判断题:
‏For vector a={3, 3, 3}, the coordinates of its end point A is {-3, -2, -1}, then the coordinates of its starting point B is {1, 2, 3}.​
选项:
A: 正确
B: 错误
答案: 【 错误

3、判断题:
‎Let the vector a={0, 1, 2}, b={1,-3, 4}, then a+2b={2, -5, 10}‎
选项:
A: 正确
B: 错误
答案: 【 正确

4、判断题:
‍The point Z(0,0,-6) whose distances from A(3,5,2) and B(4,1,3) are equal.‎
选项:
A: 正确
B: 错误
答案: 【 正确

1.2 test

1、判断题:

‌Let |a|=2, |b|=3, <ab>=2/3 , then ab=3

‌选项:
A: 正确
B: 错误
答案: 【 错误

2、判断题:
​Let |a|=2, |b|=3, then |a+b|=5​
选项:
A: 正确
B: 错误
答案: 【 错误

3、判断题:

‎Let known points A(1, -2, 3) , (0,1,-2), and vector a={4, -1, 0}, then aAB ={5, 20, 11}

‍选项:
A: 正确
B: 错误
答案: 【 正确

4、判断题:

​Let known points A(1, -2, 3) , (0,1,-2), and vector a={4, -1, 0}, then aAB =AB a

​选项:
A: 正确
B: 错误
答案: 【 错误

5、判断题:

​In the space Cartesian coordinate system Oxyz, let A(4, -1, 2), B(1, 2, -2), C(2, 0, 1),  then the area of 

​ΔABC=

‍选项:
A: 正确
B: 错误
答案: 【 错误

02 Partial Derivatives

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