In Exercises 23–32, use the dot product to determine whether v and w are orthogonal. 23. v = i + j, w = i - j 24. v = i+ j, w = -i + j 25. v = 2i + 8j, w = 4i - j 26. v = 8i – 4j, w = -6i - 12j 27. v = 2i - 2j. w = -i +j 28. v = 5i - 5j. w = i -j 29. v = 3i, w = -4i 31. v = 3i, w = -4j 30. v = 5i, w = -6i 32. v = 5i, w = -6j

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.2: Length And Angle: The Dot Product
Problem 10EQ: In Exercises 7-12, find u for the given exercise, and give a unit vector in direction of u. Exercise...
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In Exercises 23–32, use the dot product to determine whether
v and w are orthogonal.
23. v = i + j, w = i - j
24. v = i+ j, w = -i + j
25. v = 2i + 8j, w = 4i - j
26. v = 8i – 4j, w = -6i - 12j
27. v = 2i - 2j. w = -i +j
28. v = 5i - 5j. w = i -j
29. v = 3i, w = -4i
31. v = 3i, w = -4j
30. v = 5i, w = -6i
32. v = 5i, w = -6j
Transcribed Image Text:In Exercises 23–32, use the dot product to determine whether v and w are orthogonal. 23. v = i + j, w = i - j 24. v = i+ j, w = -i + j 25. v = 2i + 8j, w = 4i - j 26. v = 8i – 4j, w = -6i - 12j 27. v = 2i - 2j. w = -i +j 28. v = 5i - 5j. w = i -j 29. v = 3i, w = -4i 31. v = 3i, w = -4j 30. v = 5i, w = -6i 32. v = 5i, w = -6j
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