B- Vertices of a triangle are, A(-1, 0, 1), B(3, -2, 0) and C(4, 1, -2). Find 1- Area of Triangle 2- The perpendicular distance between AC and point B

Q: Which of the points A(9, 0, 3), B(6, 5, 6), and C(2, 9, 2) is closest to the yz-plane? Which point…

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Q: find aplane through Po (2,!,-1) and perpendicular to the line of Intersectionof the planes 2xty-Z=3)

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Q: Evaluate the line integral along the given path(s).

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you.  If…

Q: Find the equation of the perpendicular bisector of side of the triangle having vertices…

A: Slope of a line passing through two points x1,y1,x2,y2 is given by Y2-x1x2-x1 Midpoint of two points…

Q: The vertices of quadrilateral JOHN are J(-3,1), O(3,3), H(5,7), and N(-1,5). Use coordinate geometry…

A: We are given the vertices J(-3, 1), O(3, 3), H(5, 7), and N(-1, 5). Let us plot the graph first.

Q: Find the parametric representation of the straight line that passes through the points P(3,8) and…

A: A line passing through the point P and parallel to the vector v is described by  parametric…

Q: ned by vertices A (-2,4,2), B(4,10,12) and C(6,16

A: Here we have to find all angles of the triangle having vertices A (-2,4,2), B(4,10,12), and…

Q: 04: Does the triangle in 3-space with vertices (-1, 2, 3), (2, -2, 0), and (3, 1,-4) have an obtuse…

A: We have to check

Q: Show that the points form the vertices of the polygon. right triangle: (2, 0), (1, 2), (-4, -3)…

A: See the attachment

Q: Points A, B, and C are collinear and AB:AC = Point A is located at (-3, 6), point B is located at…

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Q: two vertices of the a  triangle ABC are (6,-2) and B(4,3) If the co-ordinates of its centroid be…

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Q: ( , s) Let A = (-1,3) and B = (2, 4). Find the set of points C such that the area of triangle ABC is…

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Q: What is the midpoint of the segment AB given point A(-6,1) and point B(8,7)"

A: The midpoint of the line segment joining two points lies on the line segment. The coordinates of the…

Q: 1. A triangle has vertices at (-1, 0), (4, 0), and (4, 6) in a coordinate plane. What are the…

A: GIvenTriangle has vertices at (-1,0) , (4,0) and (4,6)To findlength of all sides.

Q: 9. Sketch the triangle in the coordinate plane whose vertices are (0,-2), (2, 3). and (4,-2). Find…

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Q: A power cable is to be fitted under a road and can be represented on 3D Cartesian axes as below,…

A: a. The points are A0,-40, 0 and B (40, 0,-20) Obtain the distance AB:…

Q: ectors to decide whether the triangle with vertices P(1,-3,-2), Q(2,0,-4), R(6,-2,-5), and is…

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Q: Find the area of the triangle with vertices P(1,4,-3), Q(0,0,0), and R(2, 4, 1). Enter the exact…

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Q: Show that a triangle with vertices at A(−1, 2), B(4, 1), and C(5, 6) is isosceles. Distance from…

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Q: 2) The vertices of quadrilateral RYAN are R(2-2), Y(4,5), A(-6,4), and N(-8,–2). Use coordinate…

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Q: Quad WXYZ has vertices W(-4,-3) , X(0,-1) , Y(6,-2), Z(2,-4). Using properties of diagonals WY and…

A: Coordinate Geometry Question

Q: Use analytic geometry to classify the quadrilateral with vertices J(-2,1), K(2, 3), L(4, -1), and…

A: We have to classify the quadrilateral

Q: Use the distance formula to decide whether the three points are vertices of a right triangle. 13. (…

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Q: 3 vertices of a parallelogram ABCD are shown in the applet. What are the coordinates of point D?

A: Here in the graph, A=(5,-2)  ,  B=(8,3)   and  c=(3,8) We have to find the coordinates of point D

Q: Find the area of the triangle with vertices P(1, 0, 7), Q(0, 6, 7), and R(1, 4, 0).

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Q: Points M,N,P, and Q connecting together produces a rhombus MNPQ with diagonals MP and QN of the…

A: A rhombus is a type of quadrilateral whose four sides are of the same length. The angles of a…

Q: Find the distance from the point A to the line through points B and C. Then show that the triangle…

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Q: 7. Find the measures of the hyperbolic angles of the Euclidean square with vertices (0, 1), (0, 2),…

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Q: 4. Calculate the distance between the point Q(3, 1, 7) and the plane 2x-6y-z=3. Don't use a formula.…

A: Given point Q(3,1,7)and the plane 2x-6y-z=3. The objective is to find the distance between the point…

Q: Use the dot proquct to find the largest interior angle of the triangle with vertices P(-1,2,3),…

A: We have given vertices of the triangle as P-1, 2, 3, Q1, 2, 1 and R2, 2, 1. First, we have to find…

Q: :Prove that (4,-1).(6,0).(7,2)and (5,1) are the vertices of a rhombus.Is it a square?

A: In a square the sides are perpendicular but in a rhombus they need not be. All sides are of equal…

Q: The vertices of a AABC are A (2, 0, 2), B (- 1, 1, 1) and C(1,-2,4). The points D and E divide the…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: The vertices of parallelogram ABCD are A(-1,6), B(5,6), C(3, -2) and D(-3,-2). The diagonals of…

A: We will find the coordinates of P as following.

Q: X, % . Point M is the midpoint of AB. If the coordinates of A are (-3,6) and the coordinates of M…

A: Please refer the attached image for complete solution. THANK YOU.

Q: 2) 2 4-2

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Q: Find the midpoint of each side of the triangle with vertices A (-5,4) B (3,6), c (2,2). Prove that…

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Q: Find the distance from the point A to the line through points B and C. Then show that the triangle…

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Q: 4) The coordinates of the vertices of triangle SUE are S(-2,-4, Y(2,-1), and E(8,-9). Using…

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Q: Find the coordinates of the orthocenter of a triangle with vertices at each set of points on a…

A: Given that: (1, 5), (6, 10), (0, 16)

Q: The vertices of a quadrilateral are A(9, 4), B(8,-2), C(2,-5), and D(3,-7). Classify the…

A: Given ABCD is a quadilateral A(9,-4), B(8,-2), C(2,-5), and D(3,-7) Recall distance formula to find…

Q: Find the point with coordinates of the form (3a, a) that is in the third quadrant and is a distance…

A: Given data: The distance between points is s = 5. Given point is P(1, 2).

Q: Find all values of x so that the triangle with vertices A=(-2, –1, x), B=(-4, -2, –2), and C=(-2,…

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Q: The diagram shows AB graphed on a coordinate plane. B (4, 6) 6- -5 4 3 2 -5 -4 -3 -2 -1 4 -1- -2 3…

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Q: Let P be the parallelogram in the plane with vertices (0,0), (1,2), (1, 1), and (2, 3). Find SSp¤…

A: We need to find integral.

Q: Give the coordinates of Z" after Triangle XYZ with vertices X(-6,4), Y(0,6), Z(-4,2) is reflected…

A: Since you have posted multiple questions, we will solve only first question for you. To get…

Q: Points A, B and C are collinear, and AB: BC =1:4. A is located at (-5, - 3), B is located at (-2, 0)…

A: Points A, B and C are colinear . According to the situation we have diagram

Q: 5. Quadrilateral WXYZ with vertices W(-6, 7), X(-3, 6), Y(-1, 3), and Z(-7, 1): 180° W'(___ X'(_, Y'…

A: solve the following

Q: P, Q and How far is the point S from the plane that contains the points R?

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: A right triangle has vertices at A(3,0,2), B(4,3,0) and C(8,1, –1). At which vertex is the right…

A: We will find out the required solution.

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.