a. Find the resultant force of two vectors F1 = 5i ̂ + 2j ̂ and F2 = -2i ̂ – 8j ̂. Graph the two vectors as well as the resultant vector in a rectangular coordinate.b. Specify the unit vector extending from origin toward the point G(2,-2,-1). Graph a vector V in the same direction with a magnitude of 5 in a rectangular coordinate system.c. Given points M(-1,2,1), N(3,-3,0), and P(-2,-3,-4), find the following a) Rmn b) Rmn + Rmp Find the resultant force of two vectors F1 = sî + 2j and F2 = -2î - 8j. Graph the twovectors as well as the resultant vector in a rectangular coordinate.Specify the unit vector extending from origin toward the point G(2,-2,-1). Graph avector V in the same direction with a magnitude of 5 in a rectangular coordinatesystem.Given points M(-1.2.1). N(3,-3.0), and P(-2.-3.-4), find the following a) RMN b) RMN + RMP|4.6.

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Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CR: Review Exercises

Problem 13CR

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a. Find the resultant force of two vectors F1 = 5i ̂ + 2j ̂ and F2 = -2i ̂ – 8j ̂. Graph the two vectors as well as the resultant vector in a rectangular coordinate.

b. Specify the unit vector extending from origin toward the point G(2,-2,-1). Graph a vector V in the same direction with a magnitude of 5 in a rectangular coordinate system.

c. Given points M(-1,2,1), N(3,-3,0), and P(-2,-3,-4), find the following a) Rmn b) Rmn + Rmp

Find the resultant force of two vectors F1 = sî + 2j and F2 = -2î - 8j. Graph the two
vectors as well as the resultant vector in a rectangular coordinate.
Specify the unit vector extending from origin toward the point G(2,-2,-1). Graph a
vector V in the same direction with a magnitude of 5 in a rectangular coordinate
system.
Given points M(-1.2.1). N(3,-3.0), and P(-2.-3.-4), find the following a) RMN b) RMN + RMP|
4.
6.

System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.

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