Coordinate representation of normal vector

Coordinate representation of normal vector

The coordinate representation of normal vector is the same as that of ordinary vector, that is: (x, y, z) if this form is high school mathematics, then the normal vector must only involve the normal vector of the plane. The solution is: try to find the vector as (x, y, z), then take any two vectors in the plane, and then make the product of the two vectors and the normal vector (x, y, z) as

Coordinate representation of vector
Two straight lines are respectively X and y, which intersect point O in the same plane, ∠ xoy = 60 degrees. Any point P in the plane is defined as follows:
Two straight lines are respectively X and y, intersecting with point O in the same plane, ∠ xoy = 60 degrees, and any point P in the plane is defined as follows: if the vector of OP = xe1 + Ye2 (where E1 is the unit vector in the same direction with X axis and Y axis respectively), then the oblique coordinate of point P is (x, y)
(1) If the oblique coordinates of point P are (1, - 2), find the distance from P to o
(2) The equation of a circle with o as its center and 1 as its radius in the oblique coordinate system xoy

(1) P (1, - 2) | op | = √ (4-1) = √ 3 (OP is perpendicular to X axis)
(2) If P is a point on a circle: OP ^ 2 = 1
(xe1+ye2)^2=1
x^2+2xy(e1*e2)+y^2=1 e1*e2=cos60=1/2
X ^ 2 + XY + y ^ 2 = 1 is the circular equation

There are three points on the image of function y = x / K (k > 0), A1 (x1, Y1), A2 (X2, Y2) A3 (X3, Y3), and X1 is known
There are three points on the image of the function y = x / K (k > 0), A1 (x1, Y1), A2 (X2, Y2) A3 (X3, Y3). If X1 < x2 < 0 < X3 is known, then the correct format is () a.y1 < 0 < Y3 b.y3 < 0 < Y1 c.y2 < Y1 < Y3 d.y3 < Y1 < Y2

The three-point function leads to X1 / k = Y1, X2 / k = Y2, X3 / k = Y3
Known x1 ＜ x2 ＜ 0 ＜ x3
And because K ＞ 0, we can deduce Y1

There are three points (x1, Y1), (X2, Y2), (X3, Y3) on the image of the function y = - K ˇ 2 / X (K ≠ 0), and x1
The one above is the second power of - K. wrong number

-k^20,y3