Are cross product and dot product vectors operated in the plane? Why is one of the two real numbers and the other vector?

RELATED INFORMATIONS

• 1. 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 ‰
• 2. How to calculate vector cross product For example, a = x1i + y1j + Z1k B = x2i + Y2J + z2k to find a × B
• 3. How to calculate vector dot product and cross product?
• 4. How to calculate vector cross product For example, vector a = (1,2,3), B = (4,5,6) How to calculate the cross product of a and B
• 5. How to calculate vector cross product,
• 6. What is the determinant of the cross product of a vector Vector s = vector N1 × vector N2 n1(1,-1,0) n2(0,2,1) |i j k | s=|1 -1 0 | =-i-j+2k |0 2 1 | How to calculate? I use the third-order determinant method to do it. It's wrong Is it wrong in the book I did (- 1-2) I - (1-0) j + (2-0) J I should be - 3
• 7. How to use cross product to find the normal vector determinant of the plane
• 8. Two dimensional vector cross product formula a (x1, Y1), B (X2, Y2), then a × B = (x1y2-x2y1), right? It's absolutely right and can be proved. It's better to give comments and proof, and it's better to give the screenshot or prove it yourself
• 9. Derivation of vector cross product How to find the derivative of (vector a) × (vector b), help to prove it The cross product derivative of two vectors, both of which contain variables.
• 10. Derivation formula of vector outer product How to deduce the derivation of a (x) × B (x)
• 11. What is the geometric meaning of cross product
• 12. Geometric meaning of vector point multiplication
• 13. The geometric meaning of the cross product of the difference between two vectors and the sum of two vectors
• 14. 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?)
• 15. 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 =?
• 16. 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?
• 17. On the problem of vector addition~ (vector AB + vector MB) + (vector Bo + vector BC) + vector OM=______________ ?
• 18. 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?
• 19. What is the geometric meaning of vector addition?
• 20. In vector addition, how to add two collinear vectors when they are reversed? Please give an example