MA 242 Honors Test 1 Review Sheet (covers 9.1-9.6, 10.1-10.4)

 

Section 9.1 3D Coordinate Systems:

á   Be able to plot various points (x,y,z)

á   Know the distance formula and equation of a sphere

á   Examples p. 641: 3,8,11,17, 35

 

Section 9.2 Vectors:

á   Be able to add vectors both pictorially and component wise

á   Given 2 points A and B, find the vector that goes from A to B p. 645

á   Find the magnitude of a vector, find unit vectors

á   Examples p.649: 9, 17, 19, 23, 26,28,33

 

Section 9.3 The Dot Product:

á   Know both definitions of the dot product (p. 651 & 653)

á   Be able to determine if 2 vectors are perpendicular or parallel

á   Examples p. 656: 15,17, 33, 37

 

Section 9.4 The Cross Product:

á   Know the definition and that axb is orthogonal to both a and b.

á   Be able to determine if 2 vectors are parallel

á   Examples p. 664: 5,6, 7,9, 17, 21,33

 

Section 9.5 Equations of Lines and Planes

á   Know both vector and parametric equations of lines

á   Know the scalar equation of the plane

á   Look at the Equations of Lines & Planes Worksheets .

á   Examples p. 673: 1,3,7,17,19,21,23, 25,27,31,33

 

Section 9.6 Functions and Surfaces

á   Examples p. 683: 3, 5, 23,34

á    

Section 10.1 Vector Functions and Space Curves

á   Examples p. 700: 1,5,7, 17-23,37

á    

Section 10.2 Derivatives and Integrals of Vector Functions

á   Be able to take derivatives and be able to integrate vector functions

á   Know what a tangent vector and a unit tangent vector are

á   Examples p. 707: 9,15,19,27,29,35,45

 

Section 10.3 Arc Length and Curvature

á   Be able to calculate arc length

á   If you need them, I will give you the formulas for N(t), B(t), and k.

á   Examples p. 714: 1,3,11,13,19,25,38,45

 

Section 10.4 Motion in Space: Velocity and Acceleration

á   Find the velocity, speed, and acceleration given a position vector

á   Find position, velocity, and speed given acceleration

á   Examples p. 725: 5,9,13,15,21,23,25