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PHY 430 – Lecture 2. Scalars & Vectors. 3.1 Scalars & vectors. Scalars – quantities with only magnitudes Eg. Mass, time, temperature Mathematics - ordinary algebra Vectors – quantities with magnitudes & directions Eg. Displacement, velocity, acceleration Mathematics - vector algebra.

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Phy 430 lecture 2

PHY 430 – Lecture 2

Scalars & Vectors


3 1 scalars vectors
3.1 Scalars & vectors

  • Scalars – quantities with only magnitudes

    • Eg. Mass, time, temperature

    • Mathematics - ordinary algebra

  • Vectors – quantities with magnitudes & directions

    • Eg. Displacement, velocity, acceleration

    • Mathematics - vector algebra







Two ways to specify a vector
Two ways to specify a vector

  • 1. Give its componens, Vx and Vy

  • 2. Give its magnitud V and angle  it makes with positive x – axis

  • We can shift from one description to the other by using theorem of Pythagoras and definition of tangent





Unit vectors1
Unit vectors

  • For 3-D Cartesian coordinate system

  • i = unit vector in the direction of x

  • j = unit vector in the direction of y

  • k = unit vector in the direction of z

  • Fig. 3-15


Products of vectors
Products of vectors

  • Dot product: A B =IAIIBIcos

    A  B = B  A

  • Cross Product: A X B =IAIIBIsin  n

    A x B = - B x A


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