PPT-Graphically representing vectors

STEP Draw your vector diagram Head to tail method Key Scale 2cm 100m Use a protractor to measure your angle from the north or south 15 o Measure your resultant vector with ruler Summarise your resultant vector . 1 Motivation A3 A2 Vectors A3 A21 Notational Conventions A4 A22 Visualization A5 A23 Special Vectors A5 A3 Vector Operations A5 A31 Transposition A6 A32 Equality A6 A33 Addition and Subtraction Physics. K. Allison. Engagement. If a plane and the wind are blowing in the . opposite . direction, then the plane’s velocity . will . de. crease. .. Today we will learn how we can represent events like this.. define . scalar and vector quantities and . give . examples.. (. b) draw and use a vector triangle to . determine the resultant of two vectors such as displacement, velocity and force.. (c) Use trigonometry to determine the resultant of two vectors.. A . scalar. quantity . can be described by a . single number. , . with some meaningful . unit. 4 oranges. 20 miles. 5 miles/hour. 10 Joules of energy. 9 Volts . Vectors and scalars. A . scalar. quantity . Given . , evaluate the following:. 1. . 2. . 3. . 4. . 5. . .  . F. U. N. C. T. I. O. N. S. Symmetric about the y axis. Symmetric about the origin. 2. . -7. . -6. . -5. . -4. . -3. . -2. . -1. Motivating Question. : An Airplane flies north with an airspeed of 575 mph. If the wind is blowing 30° north of east at 50 mph, what is the speed of the plane as measured from the ground? What if the wind blew south of west?. Section 9.3. Representing Relations Using Matrices. A relation between finite sets can be represented using a zero-one matrix. . Suppose . R. is a relation from . A. = {. a. 1. , . a. 2. , …, . a. Section . 2.2. Graph the following functions by hand.. Find similarities and differences.. Calculate both graphically and numerically..  . Definition of a Limit. Means that for each . , there exists a . Scalar. A . SCALAR. is ANY quantity in physics that has . MAGNITUDE. , but NOT a direction associated with it.. Magnitude. – A numerical value with units.. Scalar Example. Magnitude. Speed. 20 m/s. 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.. A vector is a DNA molecule that has the abil­ity to replicate autonomously in an appropri­ate host cell and into which the gene of inter­est (a foreign genetic sequence) is integrated. When we insert a foreign genetic sequence into the vector the aim is either to obtain numer­ous copies of the gene of interest or to obtain the product of that.. or phages are viruses that specifically infect bacteria. . Viral vectors are those in which gene of interest is incorporated in the genome of virus.. The phage particle attaches to the outer surface of bacterium and injects its DNA into the cell..