Suppose that ac + bd= 0.Show that vectors (a, b) and (c, d) are perpendicular using your knowledge that slopes are perpendicular iftheir values are negative reciporcals. (hint: use algebra to malnipulate the given equation above to see ifa.you can get such a relationship)The number ac + bd is called the dot product of the vectors (a, b) and (c, d) .b. By finding the dot product for each pair of vectors determine if they are perpenar:i. (1,2) and (-1, 1/2)ii. (0,3) and (1, –1)iii. (3,4) and (-4,3)iv. (x, y) and (-y, x)

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Suppose that ac + bd = 0. Show that vectors (a, b) and (c, d) are perpendicular using your knowledge that slopes are perpendicular if their values are negative reciporcals. (hint: use algebra to malnipulate the given equation above to see if you can get such a relationship) a.

Suppose that ac + bd = 0. Show that vectors (a, b) and (c, d) are perpendicular using your knowledge that slopes are perpendicular if their values are negative reciporcals. (hint: use algebra to malnipulate the given equation above to see if you can get such a relationship) a.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.4: The Dot Product

Problem 31E

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Question

Suppose that ac + bd
= 0.
Show that vectors (a, b) and (c, d) are perpendicular using your knowledge that slopes are perpendicular if
their values are negative reciporcals. (hint: use algebra to malnipulate the given equation above to see if
a.
you can get such a relationship)
The number ac + bd is called the dot product of the vectors (a, b) and (c, d) .
b. By finding the dot product for each pair of vectors determine if they are perpen
ar:
i. (1,2) and (-1, 1/2)
ii. (0,3) and (1, –1)
iii. (3,4) and (-4,3)
iv. (x, y) and (-y, x)

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