Please finish as soon as possible! You are given the following points A to JA(4, 2, 0)F(5, -3, 7)E(0, -6, 7)B(2, 5, -1)G(-5, -1, 4)J(-7, 3,-4)This grid has beengiven for roughwork. You do nothave to use it if youthink you don'tneed it.YOUR TASK: Using the above given pointsDetermine three vectors containing four of the given points that have as a resultant vector GI.Determine a unit vector through D perpendicular to a plane containing any three given points.Explain your process for each scenario.C(0, 6, 2)H(6, 0, -8)D(-3,-1,-5)1(0, -9, 0)

This question can be solved using the concept of vectors and three dimensional geometry.

Answered: You are given the following points A to…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 74E

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The coordinates of the vertices of a quadrilateral are P (1,2), R (1,4), S (3,4), and T (4,2). Reflect the figure over the x-axis. What is the rule? (You may use a grid to draw the quadrilateral PRST to create P’R’S’T’ and use the table to determine which rule describes this transformation.)
A city hall gardener wants the four business of dwarf santan in the garden to be watered by a rotating water sprinkler. The gardener draws a diagram of the garden using a grid in which each unit represents 1 foot. The bushes of santan are (1,2), (2,9), (9,8) and (8,1). He wants to position the sprinkler at a point equidistant from such bush of Sampguita.Help the gardener by answering the following questions1. Where should the gardener place the sprinkler? Give the coordinates and show your solution.2. Draw on a coordinate plane the possible appearance of the garden. 3. Write the equation that describes the boundaries of the circular region to be covered by sprinkler in standard form
A city hall gardener wants the four business of dwarf santan in the garden to be watered by a rotating water sprinkler. The gardener draws a diagram of the garden using a grid in which each unit represents 1 foot. The bushes of santan are (1,2), (2,9), (9,8) and (8,1). He wants to position the sprinkler at a point equidistant from such bush of Sampguita.Help the gardener by answering the following questions1. Where should the gardener place the sprinkler? Give the coordinates and show your solution.2. Draw on a coordinate plane the possible appearance of the garden.
On the coordinate system below, plot the following pairs of points:(1, 2), (3, 7), (-1, -4), (7, 3), (-4, -1), (2, 1)a) What can you say about this group of coordinate points?b) What can you say about the position of these points on the coordinate system? c) How can you use the conclusion from b to help you with other problems?
6. Find the equation for the plane through the points P0 (1,−2,−3), Q0 (−5,−1,5), and R0 (1,0,3).
Three students, Alicia, Benjamin, and Caleb, are constructing a square inscribed in a circle with center at point C. Alicia draws two diameters and connects the points where the diameters intersect the circle, in order, around the circle. Benjamin tells Alicia that she was not being very accurate. He says that the diameters must be perpendicular to each other. Then she can connect the points, in order, around the circle. Caleb tells Alicia and Benjamin that he doesn’t need to draw the second diameter. He says that because a triangle inscribed in a semicircle is a right triangle, he will simply draw two such triangles, one in each semicircle. Together the two triangles will make a square. Who is correct?
Three students, Alicia, Benjamin, and Caleb, are constructing a square inscribed in a circle with center at point C. Alicia draws two diameters and connects the points where the diameters intersect the circle, in order, around the circle. Benjamin tells Alicia that she was not being very accurate. He says that the diameters must be perpendicular to each other. Then she can connect the points, in order, around the circle. Caleb tells Alicia and Benjamin that he doesn’t need to draw the second diameter. He says that because a triangle inscribed in a semicircle is a right triangle, he will simply draw two such triangles, one in each semicircle. Together the two triangles will make a square. Who is correct? Group of answer choices Only Caleb is correct. Only Caleb and Benjamin are correct. Only Benjamin is correct. Only Alicia is correct. Alicia, Benjamin, and Caleb are all correct.
In a park, Camila is creating two designs for a fenced-in region so that dogs have a safe place to play. Camila designs each region using a coordinate grid where each unit on the grid represents one foot. Part A Camila’s first design is triangular-shaped. On the coordinate grid, she identifies two of the vertices to be (0, 0) and (0, 35). The third vertex is labeled as (x, 42). What is the positive x-coordinate of the third vertex if the area of the region will cover 700 square feet? Part B Camila’s second design is a six-sided region using the coordinates (0, 0), (0, 35), (30, 0), (40, 48), (35, 48), and (5, 35). How many feet of fencing material will Camila need for this region (rounded to the nearest whole number) ?

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