AB-1 -2C D E-4 -5-3F1GHI2 3LJK-1 -24 5P Q R2 31MNO-5-4-3TUS4 5 -1V-2W X-3 -4Y1N2Use the table above to create two vectors in 2-Space: * and yLet * be a vector representative of the first two letters in your given name and y represent the first twoletters of your surname.(Ex. Albert Einstein: x= [-1, -2] and y = [-5,4]) My vectors are2 = [-1₁-4] and j = [ -5, -2]Use the table above to create two vectors in 3-Space: è and fLet è be a vector representative of the first three letters in your given name and represent the firstthree letters of your surname.(Ex. Albert Einstein: € = [-1, -2, -2] and f = [-5,4,-4]) My vectors are è = [-1,-4, 2] and f= [-5, -2₁ -2]e1. Angle Between Vectors and Projectsa) Use the dot product to verify the type of angle connecting the vectors and y (acute, right orobtuse).b) Find the angle connecting the vectors and y in two different ways.c)Use the dot product to verify the type of angle connecting the vectors e and f (acute, right orobtuse).d) Find the angle connecting the vectors è and f in two different ways.

Answered: Image /qna-images/answer/96343393-2a15-43d0-8806-2f6a50646910.jpg

a) Use the dot product to verify the type of angle connecting the vectors and y (acute, right or obtuse). b) Find the angle connecting the vectors x and y in two different ways. c) Use the dot product to verify the type of angle connecting the vectors è and f (acute, right or obtuse). d) Find the angle connecting the vectors è and f in two different ways.

a) Use the dot product to verify the type of angle connecting the vectors and y (acute, right or obtuse). b) Find the angle connecting the vectors x and y in two different ways. c) Use the dot product to verify the type of angle connecting the vectors è and f (acute, right or obtuse). d) Find the angle connecting the vectors è and f in two different ways.

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

A
B
-1 -2
C D E
-4 -5
-3
F
1
GHI
2 3
L
JK
-1 -2
4 5
P Q R
2 3
1
MNO
-5
-4
-3
TU
S
4 5 -1
V
-2
W X
-3 -4
Y
1
N
2
Use the table above to create two vectors in 2-Space: * and y
Let * be a vector representative of the first two letters in your given name and y represent the first two
letters of your surname.
(Ex. Albert Einstein: x= [-1, -2] and y = [-5,4]) My vectors are
2 = [-1₁-4] and j = [ -5, -2]
Use the table above to create two vectors in 3-Space: è and f
Let è be a vector representative of the first three letters in your given name and represent the first
three letters of your surname.
(Ex. Albert Einstein: € = [-1, -2, -2] and f = [-5,4,-4]) My vectors are è = [-1,-4, 2] and f= [-5, -2₁ -2]
e
1. Angle Between Vectors and Projects
a) Use the dot product to verify the type of angle connecting the vectors and y (acute, right or
obtuse).
b) Find the angle connecting the vectors and y in two different ways.
c)
Use the dot product to verify the type of angle connecting the vectors e and f (acute, right or
obtuse).
d) Find the angle connecting the vectors è and f in two different ways.

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Step 1: determining dot product

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Step 2: determining angle

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Hi, could you explain where there numbers came from? Thank you!

Step 2: determining angle
Here and method
m₁ =
M₂² = tand ₂
tano = y
x
so tano
O
O =
4
4-0.4
1 +1-6
tan" (1.3846)
54.16°
© ē. f = fî - 45 + 2^).(-52-
5+8
4
-
2
음...
=
0.4

Solution

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