ENGG130 Chapter Notes - Chapter 2: Scalar Multiplication, Dot Product, Scalar Projection

• School: University of Alberta
• Department: Engineering, General
• Course: ENGG130
• Professor: Mustafa Gul

Document Summary

Any positive or negative physical quantity that can be completely specified by its magnitude (e. g. length, mass, time) Any physical quantity that requires both a magnitude and direction for its complete description (e. g. force, position, moment) The length of the arrow represents the magnitude of the vector, and the angle b/w the vector and a fixed axis defines the direction of its line of action. The head or tip of the arrow indicates the sense of direction of the vector. Multiplication and division of a vector by a scalar. If a vector is multiplied by a positive scalar, its magnitude is increased by that amount. Multiplying by a ve scalar will also change he directional sense of the vector. All vector quantities obey the parallelogram law of addition r = a+b using the following steps: Join the tails of the components at a point to make them concurrent. From the head of b, draw a line parallel to a.