PDF-VECTORSExample 8:Find a unit vector in the direction of v = 3,2 &#x-

we need to find the magnitude of vector v Given we find It follows that Note It is common practice to rationalize denominators Example 9Find a unit vector in the direction of v . Licensed Electrical & Mechanical Engineer. BMayer@ChabotCollege.edu. Engineering 36. Chp 4: Force. Resultants (2). Scalar (Dot) Product of 2 Vectors. The SCALAR Product or . DOT Product Between Two. Use the velocity vector and angle measure to find the component form of the vector as shown:. V = . IvIcos”i. ” + . IvIsin”j. ” . Finding the Component Form a Vector. Example 1:. A plane is flying at a bearing of 250 degrees at 150 miles per hour. . Find the measures of the angles of the triangle whose vertices are. A = (–1, 0), B = (2, 1), and C = (1, –2).. Component forms:. Magnitudes:. Do Now: p.528, #27. Find the measures of the angles of the triangle whose vertices are. In the case of vectors, we have a special vector known as the . unit vector. Unit Vector. = any vector with a length 1; direction irrelevant . Two special unit vectors we look at the most;. i. = {1, 0}. Is a . number. with units. It can be positive or negative.. Example: distance, mass, speed, Temperature…. Chapter 3: . VECTORS. 3-2 . Vectors and Scalars. Scalar. Is a quantity with both . direction. Torque. . Angular momentum. . . Angular momentum is conserved!!. Chapter 11: Angular Momentum. Reading assignment: Chapter 11.1 to 11.4. Homework . :. . QQ3, QQ4, AE8, OQ5, 1, 3, 5, 10, 11, 12, 25, 26, 31, 34, 56. . example:. ..  .  .  . where . are unit vectors in x, y and z directions..  . .  .  .  .  . Both, position vector of point A and point A have the same coordinates:. Vector as position vector of point A in . . example:. ..  .  .  . where . are unit vectors in x, y and z directions..  . .  .  .  .  . Both, position vector of point A and point A have the same coordinates:. Vector as position vector of point A in . . Vectors. . . . When an object moves along a straight line, its velocity can be determined by a single number that represents both magnitude and direction. (forward if positive and backward if negative.. Vector: quantity with both magnitude and direction. Josh: Start at (0, 0). Walk to (2, -4). Karina: Start at (-5, 5) Walk to (-3, 1).. Holly: Start at (3, 1) Walk to (5, -3).. Natalie: Start at (-3, -1). Walk to (-1, -5).. Any vector can be resized by multiplying it by a real number (scalar).. Multiplying by positive scalar changes magnitude only.. Multiplying by a negative scalar changes the magnitude and its direction.. properties, addition, components of vectors . When you see a vector, think components!. Multiplication of vectors will come in later chapters.. Vectors have . magnitude. and . direction. .. Chapter 3: Vectors. Read Chapter 1.6-1.9. Scalars and Vectors. All measurements are considered to be quantities. In physics, there are 2 types of quantities – . SCALARS. . AND . VECTORS. .. Scalar. quantities have only magnitude.. 1. Prepared by Vince Zaccone. For Campus Learning Assistance Services at UCSB. A . VECTOR. . can describe . anything that has both . MAGNITUDE. and . DIRECTION. The MAGNITUDE describes the size of the vector..