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Physics Quantities. Scalars and Vectors. Scalar:. A quantity that is described by magnitude only . You add scalar quantities like you normally add numbers . 5 mL of water added to 5 mL of water will give you 10 mL of water . Some examples of scalars are Distance Speed Mass Time
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Physics Quantities Scalars and Vectors
Scalar: • A quantity that is described by magnitude only. • You add scalar quantities like you normally add numbers. • 5 mL of water added to 5 mL of water will give you 10 mL of water. • Some examples of scalars are • Distance • Speed • Mass • Time • Volume.
Vector: • A quantity that is described by stating its magnitude and direction. • You must learn special methods to add vectors (see below). • Some examples of vectors are • Displacement • Velocity • Acceleration • Force.
Vectors (cont.) • Vectors are represented by arrows (directed line segments). • A vector has a head and a tail. • The length of the arrow, when drawn to some self-determined scale, represents the magnitude of the vector and its direction is the way it points in 3-dimensional space as you sight from tail to head. Tail Head
Vectors (cont.) • They can be added graphically by placing the arrows head to tail. • The arrow that extends from the tail of the first vector to the head of the last vector is called the resultant. • It indicates both the magnitude and direction of the vector sum. Vector AVector B Resultant= Vector A + Vector B
Vectors (cont.) • Remember, vectors don't always have to be in a straight line but may be oriented at angles to each other, such as Vector AVector B Resultant= Vector A + Vector B
Vectors (cont.) • Vectors can be added in any order. Vector BVector A Resultant= Vector B + Vector A
Vectors (cont.) Vector AVector B Resultant = Vector A + Vector B
Vectors (cont.) • More than two vectors can be added together using the head-to-tail method. Vector AVector BVector CVector D Resultant = Vector A + Vector B + Vector C + Vector D
Vectors (cont.) Resultant vectors can be determined by a number of different methods. You will solve vector addition exercises both graphically and with vector components.