Is the coordinate point multiplication of vector the corresponding coordinate multiplication

yes
For example, (2,3). (1,4) = 2 * 1 + 3 * 4 = 14

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3. 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) =?
4. 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
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11. Why does vector multiplication have negative numbers? This is a problem of coordinate multiplication Isn't vector multiplication length? How can there be negative numbers?
12. Why is the "product of vectors" the multiplication of modules of two vectors and then the multiplication of cos? Is this artificial? Or is there any basis?
13. What is the geometric meaning of the dot product of two vectors greater than zero?
14. What happens when two vectors that are not in the same plane are added or multiplied? (solid space)
15. What's the meaning of space vector multiplication? Why do two vectors multiplication give coordinates in the question? How to use coordinates?
16. What's the difference between the scalar product of a vector and the multiplication of two vectors? Generally speaking, what do two vectors OA · ob represent? For example, why is the multiplication of two vectors in the first question not equal to | OA · | ob | cos Sita?
17. What does vector multiplication equal to 1 mean?
18. It is proved that the intersection line of two planes is perpendicular to the plane formed by the normal vectors of two planes
19. Are the normal vectors of two planes perpendicular to each other and parallel to each other?
20. On vector and scalar Why are velocity and acceleration vectors? They don't use parallelogram rule when they are calculated, And they can also be compared in size How to distinguish between vector and scalar?