Find the normal vector (urgent)! Known surface equation is x ^ 2 + 2Y ^ 2 + 3Z ^ 2 = 15, find the normal vector

RELATED INFORMATIONS

• 1. Application of vector method How to use vector to show plane parallel
• 2. On vector operation There are dot multiplication and cross multiplication in vector operation. What's the difference and connection between them? For example, in the moment M = f * l, why can't dot multiplication be used instead of cross multiplication? I know that the direction is determined by the right-hand screw rule. Is the size a simple multiplication?
• 3. Vector computing Vector contains direction and size, but with direction operation does not change the size of it?
• 4. How to calculate the vector product vector a * vector b (how to determine the size and direction) Note that * is not a dot product, and the result is not a number, but a vector Take the operational expression of physical quantities such as moment and angular momentum as an example
• 5. How to calculate the length of a complex vector? Suppose I have a two-dimensional complex vector a, how can I prove that the square of its length is equal to the conjugate product of a and a? In other words, why is it not equal to the product of a and a itself? I know that the conjugate of a and a can guarantee that the product is positive, but why is the length calculated in this way?
• 6. Why can vectors (vectors in Physics) be calculated from geometry? How can we prove that everything obeys this law? Why should we abide by this Law and not others?
• 7. How to calculate the length of a vector
• 8. The moment of momentum of a particle relative to a fixed point is usually regarded as a location vector at the center of the moment? I asked what these two concepts mean, not about the right-handed system
• 9. What is fraction addition and subtraction
• 10. How to find the unit vector
• 11. Space geometric vector It is known that the radius of the circumscribed sphere o of the triangular pyramid P-A B C is 1 and satisfies the vector OA + ob + OC = 0 Then the volume of the regular triangular pyramid P-A B C?
• 12. Is the concept of the same direction in vector different from that in plane geometry?
• 13. Normal vector direction of space surface Space surface f (x, y, z) = 0. Its normal vector is (FX ', FY', FZ '). What is its direction? How to determine the direction of the normal vector? For example, the space curve X = x (T), y = y (T), z = Z (T), its tangent X '(T), y' (T), Z '(T) direction is consistent with the point's moving direction when t increases. Similarly, I think there should be a conclusion for the space surface! What is that?
• 14. How to find normal vector and direction vector? For example, 5x + 6y-1 = 0, how can we easily see the normal vector and direction vector of this equation?
• 15. What does the normal vector of a plane mean?
• 16. How to judge the shape of triangle by vector method We should be scientific and advanced
• 17. How to calculate the triangle rule of physics?
• 18. How to use trigonometric parallax method to calculate planetary distance? Where does this distance go from?
• 19. Triangle rule of vector addition How to derive the triangle rule of vector addition? Isn't the sum of two sides of a triangle greater than the third side? Why is vector addition OK? Even if vector addition is pseudo mechanics, isn't that a bit misleading
• 20. If 3x = 2Y, then 6-3x + 2Y=