Two vertical mining methods
X1 * x2 + Y1 * y2 = 0 and | a | * | B | * cos (the angle between a and b) = 0
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< br > < br > < br > < br > < br > < br > < br > < br > < br >
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< br > < br > < br > < br > < br > < br > < br > < br > < br > < br > < br > < br > < br > < br > < br > < ා178+ y1²)
vector b (X2, Y2), length L2 = √ (x2 & # 178+ y2²)
(x1, Y1) to (X2, Y2): D = √ [(x1 - x2) & # 178; + y1 - y2)²]
∴ (x1²+ y1²) + ( x2²+ y2²) = ( x1 - x2)² + ( y1 - y2)²
∴ x1² + y1² + x2² + y2² = x1² - 2x1x2 + x2² + y1² - 2y1y2 + y2²
0 = - 2x1x2 - 2y1y2
0x1x2 + y1y2 = 0
2. To extend to three-dimensional angle: x1x2 + y1y2 + z1z2 = 0, then vectors (x1, Y1, Z1) and (X2, Y2, Z2) are vertical
overview, for any dimension of two vectors L1, L2 vertical sufficient and necessary condition is: L1 × L2 = 0 holds
extended data:
vector vertical proves line plane vertical:
let line l be and α The inner intersecting lines a and B are all vertical α
proof: let the direction vector of a, B, l be a, B, l
∵ A and B intersect, that is, a and B are not collinear
we can know from the basic theorem of plane vector, α Any vector C in can be written as C= λ a+ μ The form of B is
⊥ L ⊥ a, l ⊥ B
L · a = 0, l · B = 0
L · C = L· λ a+ μ b= λ l·a+ μ L · B = 0 + 0 = 0
let C be α According to the arbitrariness of C, l and α Any line inside is vertical
the formula of two vector dot procts is X1 * x2 + Y1 * Y2 + Z1 * Z2
so a + B + C = 0
The condition for two planes to be perpendicular: the dihedral angle is 90 degrees
decision theorem: if a plane passes through a vertical line of another plane, then the two planes are perpendicular to each other
if the projection of any point in one plane on the other plane is on the intersection of the two planes, then it is vertical. If one of the N parallel planes is perpendicular to a plane, the rest of the planes are perpendicular to that plane
extended data:
properties
① in the same plane, there is and only one straight line passing through a point perpendicular to the known straight line. Vertical is bound to be 90 °
② among all the line segments connecting a point outside the line and each point on the line, the vertical line segment is the shortest. In short, the vertical line segment is the shortest
(3) distance from point to line: the length of the vertical section from a point outside the line to the line is called the distance from point to lineif you only require that the hole and the surface be vertical, first the surface of your proct must be smooth and not rough, then drill and ream
the opening price of futures refers to call auction, which is based on the principle that the order price of the buyer and the seller in the order issued by the buyer and the seller to the Shenzhen and Shanghai stock markets is the same between 9:00 and 9:25, but it is worth noting that the "consistent price" refers to the "consistent price" that can match the largest amount of a single stock, It is not necessarily the highest price that the buyer and the seller agree on. The "call auction" generated between 9:00 and 9:25 does not implement the "time first" principle when the entrustment price is consistent in the "continuous auction" after 9:30
closing price: refers to the transaction price of the last transaction of a certain security before the end of trading activities on the stock exchange. If there is no transaction on that day, the latest transaction price will be used as the closing price, because the closing price is the standard of the market on that day and the basis of the opening price of the next trading day, which can be used to predict the future securities market; Therefore, when investors analyze the market, they usually use the closing price as the basis for calculation
at present, the closing price of Shanghai and Shenzhen stock markets is not entirely the transaction price of the last transaction, but a weighted average price, also known as the adjusted closing price. The trading rules of Shanghai Stock Exchange stipulate that the closing price of Shanghai Stock Exchange shall be the weighted average trading volume of all transactions one minute before the last trading of the securities on that day (including the last trading). If there is no transaction on that day, the previous closing price shall be the closing price on that day. The trading rules of Shenzhen Stock Exchange stipulate that the closing price of securities in Shenzhen stock exchange is generated by call auction. If the closing price cannot be generated by the closing call auction, the closing price shall be the weighted average trading volume price (including the last trading) of all transactions one minute before the last trading of the securities on that day. If there is no transaction on that day, the previous closing price shall be the closing price on that day.
closing price: the closing price refers to the transaction price of the last transaction of a trading variety before the end of trading activities on the exchange day
settlement price: settlement price refers to the price calculated by weighted average price according to the price fluctuation on the day after closing. This price is mainly used in the market with no liabilities settlement on the day. According to the settlement price, it is used to settle the profit and loss of the day's trading ring the specified market closing time