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UCSB

PHYS 1

MIDTERM EXAM

STUDY GUIDE

Scalar = number

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Magnitude is nonnegative

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Vector = magnitude + direction

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Vectors are represented with an arrow:

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Two ways to mathematically represent vectors:

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= vector; ,

,

= magnitude of

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Given :

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Given

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Note:

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If then

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Adding vectors

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and

are called the resultant vectors

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Vector addition is commutative

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Adding vectors mathematically:

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Lecture 2

Thursday, January 12, 2017

12:38 PM

PHYS 1 Page 1

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is the smallest angle between and

Scalar (dot) product

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Vector (cross) product

Multiplying vectors:

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+x

+y

+z

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Unit vectors have magnitude = 1

PHYS 1 Page 2

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