Chapter 1 (Three Dimensional coordinate system)

Chapter 1 (Three Dimensional coordinate system)

1. surface of x,y,z in R3

2. describe and sketch the surface in R3

3. the distance from the two points

4. equation of sphere with given radius,r and center,c

5. find radius and center of the sphere with given equation.

6. find region of sphere in R3 with given inequalities

   • INTRODUCTION

7. draw sum of two vectors.

8. find vector with given directed line segment with initial point and terminal point

9. find magnitude or length of vector a, |a| or ||a||

10. express the vector in term of i, j, k

11. find the unit vector

12. application of the vector in aspects of physics and engineering

    • VECTOR

13. find dot product , a.b

14. find the angle between two vector

15. find the direction angles of the vector

    • DOT PRODUCT

16. find scalar projection and vector projection

    • PROJECTION

17. application of projection in find the work done

18. find cross product, axa

    • CROSS PRODUCT

19. find a vector perpendicular to the plane

20. find area of the triangle