PPT-Scalars vs. Vectors

Scalar quantities have only a magnitude amount Vector quantities have a magnitude and a direction We represent them as arrows Distance d the separation between two points . 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 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 . p. etra.ryrstedt@lund.se. Polhemskolan, Lund, Sweden. Nspire and . vectors. This. . year. I . used four different files to teach. my . students. . about. . vectors. I have used these files several times but every time . vs. Vectors. Scalars – a quantity that only needs a magnitude (with a unit) to describe it. . Ex:. . Vectors – a quantity that needs a magnitude (with a unit) and a direction to completely describe it. GENETIC. . ENGINEERING. Genetic engineering is the manipulation of genetic materials which can be introduced in the host organisms and thus change the phenotype of the host organism.. Distinguish between scalars and vectors.. Recognise quantities as either scalars or vectors.. HL: Find the resultant of perpendicular vectors.. HL: Describe how to find the resultant of two vectors.. 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?. . 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.. 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.. In physics, we are often concerned with the direction of an object's motions. To represent direction we need to use vectors. "John was traveling at a of 100km/h" compared to "John was traveling at