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Part II. (4 pts) Given the axiom set for the Incidence Geometry as below: Undefined terms: point, line, on Definitions: 1. Two lines are intersecting if there is a point on both. 2. Two lines are...
Part II. (4 pts) Given the axiom set for the Incidence Geometry as below: Undefined terms: point, line, on Definitions: 1. Two lines are intersecting if there is a point on both. 2. Two lines are parallel if they have no point in common. Axioms: I. Given any two distinct points, there is a unique line on both. II. Each line has at least two distinct points on it. III. There exist at least three points. IV. Not all points...
Problem 3 More questions about straight lines.
Problem 3 More questions about straight lines. .1. Find the equation of the line passing through the points (1,4) and (5,2). Give your answer in point-slope form, y - y₁ = m(x-x₁). 2. Write the equation of this line in slope-intercept form 3. Sketch the line on the axes provided. 4. What is the slope of any line that is perpendicular to the line above?
Working with lines As with individual points, the control points that define a line can be...
Working with lines As with individual points, the control points that define a line can be placed only on the snap points of the graph. Often (though not always), snap points coincide with the intersection of grid lines. You are graded on the position of the line itself, not the position of the control points along the line. On the following graph, place the green line (triangle symbol) directly on top of the upward-sioping line you are given. Hint: Make...
Using MATLAB Please Write a MATLAB function that takes coord natos of four points as inputs and returns the coord nates of ntersection of the line passing through ooints 1 and 2 and the line passing t...
Using MATLAB Please
Write a MATLAB function that takes coord natos of four points as inputs and returns the coord nates of ntersection of the line passing through ooints 1 and 2 and the line passing through points 3 and 4. For function name and inout arguments, use: P line_int(P1, P2, P3, P4) The function should be able to handle row or column vector entries. This function will use a sub-function called line_eq. This sub-function takes coordinates of two points...
--> Econ Graph Review a) The equation of the line passing through the points (5, 1)...
--> Econ Graph Review a) The equation of the line passing through the points (5, 1) and (8, 2) is ay = x + b. Find the values for constants a and b. Represent this function in a xy plane. b) Let L be the line passing through the point (4, 9) with slope 3/4. Represent this function using the y = mx + b formula. Find the y-intercept of L. c) Graph the following two equations on the same...
Equipotentials answer the following questions about equipotential lines. 4 points total. 1. Explain what equipotential lines...
Equipotentials answer the following questions about equipotential lines. 4 points total. 1. Explain what equipotential lines are. In particular, explain how they relate to electric field lines (geo- metrically) and how they relate to potential energy. 2 points. 2. Below are lines of equipotential for a charge distribution. Draw the electric field lines associated with the equipotentials. Draw a guess for the shape of the charge distribution. Explain in words the important points that you were trying to show through...
question about linear algebra 21. The following two lines := -i+j+ k + t(2i - 2j - 2k), t e R r and y2 1 = 2 -1 interse...
question about linear algebra
21. The following two lines := -i+j+ k + t(2i - 2j - 2k), t e R r and y2 1 = 2 -1 intersect each other. What is the equation of the line (where s E R) passing through the intersection point of these two lines and perpendicular to both of them? r -ijk s(i - j - k) (a) (b) r i2j+3k + s(i - 2j + 7k) (c) (d) rsik) (e) =j-k s(i...
Parallel lines have the same slope. Perpendicular lines have negative-reciprocal slope. Find the equation of the...
Parallel lines have the same slope. Perpendicular lines have negative-reciprocal slope. Find the equation of the line with the given conditions. Write your answer in slope intercept form. Passes through the point (-2, 1) and is parallel to the line y = 3x -5. Passes through the point (-2, 1) and is perpendicular to the line y = 3x -5.
using these axioms prove proof number 5 1 - . Axiom 1: There exist at least...
using these axioms prove proof number 5
1 - . Axiom 1: There exist at least one point and at least one line Axiom 2: Given any two distinct points, there is exactly one line incident with both points Axiom 3: Not all points are on the same line. Axiom 4: Given a line and a point not on/ there exists exactly one linem containing Pouch that / is parallel tom Theorem 1: If two distinct lines are not parallet,...
8. For each of the lettered points on the interfe a. rence pattern below, answer these questions. :How many wavelengths from each source is i? .By how many wavelengths do the two paths differ? Is...
8. For each of the lettered points on the interfe a. rence pattern below, answer these questions. :How many wavelengths from each source is i? .By how many wavelengths do the two paths differ? Is there constructive or destructive interference at the point? Constructive or Destructive Interference? Wavelengths from S1 Wavelengths from S2 Difference to Point to Point Explain in a sentence how the path difference between a point and the waves sources determines th type of interference b.
8....
Part II. (4 pts) Given the axiom set for the Incidence Geometry as below: Undefined terms: point, line, on Definitions: 1. Two lines are intersecting if there is a point on both. 2. Two lines are parallel if they have no point in common. Axioms: I. Given any two distinct points, there is a unique line on both. II. Each line has at least two distinct points on it. III. There exist at least three points. IV. Not all points...
Working with lines As with individual points, the control points that define a line can be placed only on the snap points of the graph. Often (though not always), snap points coincide with the intersection of grid lines. You are graded on the position of the line itself, not the position of the control points along the line. On the following graph, place the green line (triangle symbol) directly on top of the upward-sioping line you are given. Hint: Make...
Using MATLAB Please
Write a MATLAB function that takes coord natos of four points as inputs and returns the coord nates of ntersection of the line passing through ooints 1 and 2 and the line passing through points 3 and 4. For function name and inout arguments, use: P line_int(P1, P2, P3, P4) The function should be able to handle row or column vector entries. This function will use a sub-function called line_eq. This sub-function takes coordinates of two points...
Equipotentials answer the following questions about equipotential lines. 4 points total. 1. Explain what equipotential lines are. In particular, explain how they relate to electric field lines (geo- metrically) and how they relate to potential energy. 2 points. 2. Below are lines of equipotential for a charge distribution. Draw the electric field lines associated with the equipotentials. Draw a guess for the shape of the charge distribution. Explain in words the important points that you were trying to show through...
question about linear algebra
21. The following two lines := -i+j+ k + t(2i - 2j - 2k), t e R r and y2 1 = 2 -1 intersect each other. What is the equation of the line (where s E R) passing through the intersection point of these two lines and perpendicular to both of them? r -ijk s(i - j - k) (a) (b) r i2j+3k + s(i - 2j + 7k) (c) (d) rsik) (e) =j-k s(i...
Parallel lines have the same slope. Perpendicular lines have negative-reciprocal slope. Find the equation of the line with the given conditions. Write your answer in slope intercept form. Passes through the point (-2, 1) and is parallel to the line y = 3x -5. Passes through the point (-2, 1) and is perpendicular to the line y = 3x -5.
using these axioms prove proof number 5
1 - . Axiom 1: There exist at least one point and at least one line Axiom 2: Given any two distinct points, there is exactly one line incident with both points Axiom 3: Not all points are on the same line. Axiom 4: Given a line and a point not on/ there exists exactly one linem containing Pouch that / is parallel tom Theorem 1: If two distinct lines are not parallet,...
8. For each of the lettered points on the interfe a. rence pattern below, answer these questions. :How many wavelengths from each source is i? .By how many wavelengths do the two paths differ? Is there constructive or destructive interference at the point? Constructive or Destructive Interference? Wavelengths from S1 Wavelengths from S2 Difference to Point to Point Explain in a sentence how the path difference between a point and the waves sources determines th type of interference b.
8....
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