High one vector addition operation In the triangle ABC, AB + BC = AC In quadrilateral ABCD, AB + BC + CD = AC + CD = ad In Pentagon ABCDE, AB + BC + CD + de = AC + CD + de = AD + de = AE What are the general rules?
N-sided a1a2a3a4 An Zhong
A1A2++A2A3+A3A4+A4A5+… +A(n-1)An=A1A3+A3A5+… +A(n-2)An=A1An
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- 1. On the problem of vector addition~ (vector AB + vector MB) + (vector Bo + vector BC) + vector OM=______________ ?
- 2. Vector cross product The result of dot multiplication "·" is a scalar; a · B = | a | B | cosw (there are vector marks on a and B, so it is not convenient to type. W is the angle of two vectors). The result of cross multiplication "×" is a vector perpendicular to the plane of the original vector A × B = | a | B | SiNW?
- 3. On the problem of vector cross product Vector Ba = 1 / 2 (2 vector a + vector b-vector C) vector BC = 1 / 2 (vector a + vector C) ask vector Ba cross product vector BC =?
- 4. Vector cross product problem For example, if two vectors a (1,5), B (2,3) and the angle between the two vectors is assumed to be @, can we write out the detailed solution process of sin @ (is the cross product of vectors only limited to three coordinates?)
- 5. The geometric meaning of the cross product of the difference between two vectors and the sum of two vectors
- 6. Geometric meaning of vector point multiplication
- 7. What is the geometric meaning of cross product
- 8. Are cross product and dot product vectors operated in the plane? Why is one of the two real numbers and the other vector?
- 9. The algorithm for vector dot multiplication, cross multiplication, dot multiplication and cross multiplication? For example, the algorithm of finding vector dot product, cross product, dot product and cross product mixture? Why is vector a × vector b = / A / ● B / sin θ? Two vector cross products get a vector? But the right side of the equation is a numerical value. And the volume v = A1 ‰
- 10. How to calculate vector cross product For example, a = x1i + y1j + Z1k B = x2i + Y2J + z2k to find a × B
- 11. What is the geometric meaning of vector addition?
- 12. In vector addition, how to add two collinear vectors when they are reversed? Please give an example
- 13. Is there a distributive law for vector subtraction!
- 14. Does space vector subtraction have exchange rate and combination law Space vector addition has exchange rate, subtraction has
- 15. Why does the scalar product of a vector not satisfy the associative law
- 16. Is there an association law for vector subtraction?
- 17. The subtraction of space vector satisfies the combination law What is the law of association?
- 18. Subtraction of vector Some judgment question vector ab - vector BC = vector AC, seeking advice vector ab - vector BC should be wrong, but I can't work it out. I'm depressed
- 19. Subtraction of coordinate vector What is (- 6, - 5) - (4, - 6)?
- 20. The difference between vector and physical vector