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MAT Question and answers correctly solved 2024/2025
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MAT Question and answers correctly solved 2024/2025 MAT-172 Quiz #8 Study Guide - Chapter 11.3 - Part 2 What is a vector with its initial point at the origin in a rectangular coordinate system? - correct answer Position Vector What would a position vector u with its endpoint at the point ...

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  • October 15, 2024
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  • 2024/2025
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MAT-172 Quiz #8 Study Guide - Chapter
11.3 - Part 2
What is a vector with its initial point at the origin in a rectangular coordinate
system? - correct answer ✔Position Vector


What would a position vector u with its endpoint at the point (a,b), be written
as? - correct answer ✔u = {a,b}


What corresponds to an ordered pair of real numbers? - correct answer
✔Vectors


What is a directed line segment? - correct answer ✔Vector


What is algebraically an ordered pair? - correct answer ✔Vector


What are the numbers, a, and b, for vector u? - correct answer ✔Horizontal
Component and Vertical Compoennt


What is a for vector u? - correct answer ✔Horizontal Component


What is b for vector u? - correct answer ✔Vertical Component


What is the positive angle between the x-axis and the position vector? -
correct answer ✔Direction Angle


How is the magnitude related to what component? - correct answer
✔Horizontal Component

, How is the direction related to what component? - correct answer ✔Vertical
Component


How is the magnitude(length) of vector u = {a,b} shown? - correct answer
✔IuI = Square root of a^2 + b^2


Is a ever supposed to equal 0, when looking for magnitude? - correct answer
✔NO!


What must direction angle theta satisfy? - correct answer ✔Tan B/A


How do you find the magnitude of u = {3, -2}? - correct answer ✔u = Square
root of 3^2 + -2^2


How do you find the direction angle of u = {3, -2}? - correct answer ✔tan = -
2/3 ; use 2nd tan (-2/3); add 360 afterwards!!


Do you also have to add 360 to yield the direction angle of u? - correct
answer ✔YES!


Vector w has magnitude 25 and direction angle 41.7 degrees. Find the
horizontal component. - correct answer ✔a = 25cos41.7 = 18.7


Vector w has magnitude 25 and direction angle 41.7 degrees. Find the vertical
component. - correct answer ✔b = 25sin41.7 = 16.6


What is for a? - correct answer ✔Cos angle

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