ECOR 1101 Lecture Notes - Lecture 2: Vector Notation, Euclidean Vector, Parallelogram
11 Jan 2017
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ECOR – Lecture
• Scalar: Described by its magnitude ex. Mass, Volume
• Vector: More than one attribute or characteristic to describe it
o Magnitude → Size
o Direction → Angle
o Sense → Tension/Compression
o Point of Application → Location
• Reference System → judge something relative to something
• Vector notation
o Bold face lettering → A
o Letter with an arrow over top →
o Underlined letters→ A
o Two letters (origin and end respectively) with an arrow over top →
• Multiplication/Division of a vector by a scalar
o Positive scalar → Increases/decreases magnitude but sense remains the same
o Negative scalar → Increases/decreases magnitude but sense changes (change in
direction)
• Addition of Vectors
o Parallelogram Addition (Tail-to-tail)
o Triangle Addition(Tip-to-tail)
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• Subtraction of Vectors
o Parallelogram Subtraction
o Triangle Subtraction
• Co-linear vectors
o Same line of action (same direction)
o Addition results to a sum of their vectors
• Force → a vector quantity
o We are wither given multiple forces and are required to find the resultant force
o We are given a resultant force and are required to find its components
• System of Coplanar Forces
o A force F can be broken down into two coplanar components along ay two axes by the
parallelogram vector addition
• Sine and Cosine Laws
o Using the triangle addition rule, the laws can be sued to determine the direction and
magnitude of the resultant force
find more resources at oneclass.com
find more resources at oneclass.com
