a) Graph x = 2 and y = 3 and z = -3 in a 3-D rectangular coordinate system.b) Given vector A = -3i ̂ + 4j ̂ and B = i ̂ + 2j ̂. Find vector V where magnitude is 3 and the vector is parallel to 2A-3Bc) Find vector V such that the vector has a length of 16 and makes an angle of pi/3 with the x-axis. Graph x - 2 and yGiven vector Ã - -3î + 4ĵ and B - î + 2j. Find vector V where magnitude is 3 and thevector is parallel to 2Ã-3BFind vector V such that the vector has a length of 16 and makes an angle of pi/3- 3 and z - -3 in a 3-D rectangular coordinate system.with the x-axis.

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Answered: a) Graph x = 2 and y = 3 and z = -3 in…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.3: Vectors

Problem 34E

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Question

a) Graph x = 2 and y = 3 and z = -3 in a 3-D rectangular coordinate system.

b) Given vector A = -3i ̂ + 4j ̂ and B = i ̂ + 2j ̂. Find vector V where magnitude is 3 and the vector is parallel to 2A-3B

c) Find vector V such that the vector has a length of 16 and makes an angle of pi/3 with the x-axis.

Graph x - 2 and y
Given vector Ã - -3î + 4ĵ and B - î + 2j. Find vector V where magnitude is 3 and the
vector is parallel to 2Ã-3B
Find vector V such that the vector has a length of 16 and makes an angle of pi/3
- 3 and z - -3 in a 3-D rectangular coordinate system.
with the x-axis.

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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