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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
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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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.
Transcribed Image Text: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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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
Transcribed Image Text: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
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