[PHYS 1] - Midterm Exam Guide - Ultimate 11 pages long Study Guide!

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6 Feb 2017
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UCSB
PHYS 1
MIDTERM EXAM
STUDY GUIDE
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
Scalar = number
Magnitude is nonnegative
Vector = magnitude + direction
Vectors are represented with an arrow:
Two ways to mathematically represent vectors:
= vector; ,
,
= magnitude of


Given :

Given
Note:
If then
Adding vectors
and
are called the resultant vectors
Vector addition is commutative
Adding vectors mathematically:
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
Vector (cross) product
Multiplying vectors:
+x
+y
+z




Unit vectors have magnitude = 1
PHYS 1 Page 2
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