What's the difference between a / A * B and a / (1 + b)? We must make it clear

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• 5. Vector judgment "If | a | = | B |, a and B are vectors, then a and B have the same length and the same or opposite direction." What's wrong with this sentence? Why? Thank you!
• 6. On the judgement of vector If E1 and E2 are a set of bases of all vectors in the plane, then any vector a in the space can be expressed as A = n1e1 + n2e2 (N1. N2 is a real number)
• 7. Simple vector judgment The necessary and sufficient condition for vectors a and B to be collinear is that "there exists n ∈ R, B = n * a" The answer is incorrect. Why? (2008 Hainan, Ningxia, Wen 9 li 8)
• 8. A judging problem of vector Let a, B and C be arbitrary non-zero plane vectors which are not collinear with each other 1.（a*b)*c-(c*a)*b=0 2.|a|-|b|＜|a-b| 3. (b * c) * a - (c * a) * B is not perpendicular to C 4.（3a+2b)*(3a-2b)=9|a|²-4|b|² Hope there is an explanation thank you
• 9. Mathematical vector judgment If vector a is parallel to vector B and vector B is parallel to vector C, then vector a is parallel to vector C
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• 11. What's the difference between vector a and vector / A / / AB / and / A / / B /
• 12. The subtraction of vector | a | = 6 | B | = 8 if | a + B | = | A-B | 1 find the value range of | A-B | 2 find the value range of | A-B |
• 13. A problem of vector coordinate operation in senior one Given that the plane vector a = (3,1), the vector b = (x, - 3), and the vector a is perpendicular to the vector B, then what is x? Please give me some advice! The most important thing is the process! The process!
• 14. If the edge length of cubic abcd-aibicidi is 2 and M is the midpoint of DDI, the volume of triangular pyramid bi-amc is?
• 15. If ABCD is a square, PD is perpendicular to the plane ABCD, and PD = AB, e is the midpoint of Pb, then the cosine value of the angle formed by the out of plane straight lines PD and AE is? The key is how to express the coordinates of E?
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• 17. I don't quite understand the definition of sufficient condition and necessary condition. I've seen the definition many times, but I still can't understand it. Tell me about the following two questions· 1. For any real number a, B, C, the true proposition is (b) A. "Ab > BC" is the necessary condition of "a > b", and "AC = BC" is the necessary condition of "a = B" C. "AC > BC" is a sufficient condition for "a > b" and "AC = BC" is a sufficient condition for "a = B" 2. It is known that a and B are real numbers which are not equal to 0. What is the condition for "A / b > 1" to be "a > b"? And prove your conclusion
• 18. Mathematics problems in senior two (space vector) Let a, B, C, d be four non coplanar points in space, and satisfy (vector AB) * (vector AC) = 0, (vector AB) * (vector AD) = 0, (vector AC) * (vector AD) = 0 Then triangle BCD is () triangle? A. Obtuse angle B. Right angle C. Acute angle D. Equilateral Why?
• 19. In a regular triangular pyramid p-abc, if the three side edges are perpendicular to each other and the side edge length is a, then the distance from point P to plane ABC is () A. aB. 22aC. 33aD. 3a
• 20. 1. In equilateral triangle ABC, the angle between vector AB and vector BC is a.90 degree b.60 degree c.120 degree d.45 degree (why choose C). 2. In triangle ABC, if vector ab × vector BC > 0, then the triangle is? 3. Given that unit vectors E1 and E2 are perpendicular to each other, then (a + 2b) × (3a-b) =? 3 there is a mistake. It should be (3e1-2e2) × (E1 + E2) =?