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## PowerPoint Slideshow about ' PHY 430 – Lecture 2' - jasmine-kaufman

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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

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 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

- 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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