Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question

Transcribed Image Text:Vector Arithmetic
The sum of two vectors is the result of placing the tail of one vector at the head of the other:
When we consider these vectors in component form, we should recognize that the sum vector has coordinates that are
precisely the sum of the coordinates from the original vectors.
The difference of two vectors is the vector that connects the heads of the two vectors being subtracted - specifically in the
direction starting at vector being subtracted and extending towards the vector we are subtracing from.
Again, notice that the difference vector has coordinates that are precisely the difference of the coordinates from the original
vectors. What's more, we should also recognize that ở + (i – v) = i
Practice
Given that i = (-3, 6) and i = (-3, 2), compute:
ü + ở =
ở + =
i – 0 =
ý – ü =
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