Find the area of the following triangle T. The vertices of T are A(0,0,0), B(1,0,2), and C(2,2,0).

Q: Find the area of the triangle with the given vertices. (Hint: 1lu x v|| is the area of the triangle…

A:

Q: Find a such that the points A(1, 5), B(4, 7), and C(a, a) are collinear. a =

A: Solved below

Q: Find S. Re z?dz clockwise around the boundary of the square with vertices 0,j, 1 + j,1

A:

Q: Given W(-1,5,2), X(6,-2,3) and Y(-2,-7,-3), are points in 3D, then determine the area of…

A: To find the area of the parallelogram formed by two vectors

Q: e+y dA, A:= triangle with vertices (0;0), (1;0), (1,2);

A: Solution:- We have to evaluate the following integrals over the region A. ∫∫Aex+ydA, A=triangle…

Q: The coordinates of the point P on the unit cube is A (1,1,0) B. (0,1,1) C ( (,0,1) D (1,1,1)

A:

Q: If D is the triangle with vertices (0,0), (55,0), (55,60), then dA=

A:

Q: For what value of K,the point (k,k) ,(2,3) and (4,-1) are collinear

A: k=7/3

Q: Consider points A(2, –3,4), B (0, 1, 2) and C(-1,2,0). 1.4 Find the area of parallelogram ABCD with…

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

Q: given the points M(-3, -4) and T(5, 0), find the coordinates of the point Q on the directed line…

A: according to given problem Ratio given 1:3 We will use here section formula which states that: If…

Q: A square (say C) is formed through the vertices z= 0, z=1, z =1+i and z=i, then evaluate ze dz .

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

Q: Find the area of the following triangle T. The vertices of T are​ O(0,0,0),​P(1​,3​,3​), and​…

A: Area of the triangle with vectors v and w is 12v×w

Q: A figure has vertices A = (0, 0), B = (1, 3), C = (0, 4), and D = (-1, 1). Which of the following is…

A: Check the given vertices forms a square or parallelogram,..

Q: (b) Find the area of a triangle with the points A(1,0, 0), B(0,1,0), C(0,0, 1) as it vertices by…

A: (b) We have to find area of triangle with the points A1,0,0 , B0,1,0 and C0,0,1 by using cross…

Q: If D is the triangle with vertices (0,0), (40,0), (40,25), then dA=

A: The triangle D is with the vertices (0,0), (40,0) & (40,25). The line passing through (0,0) and…

Q: The parallelogram (ABCD) has vertices at A(2,-1, 4), B(1,0, -1).C(1,2,3), and D, then

A: Let A(2,-1,4) , B(1,0,-1) , C( 1,2,3) and D(x,y,z) Let AC be one diagonal and BD be another…

Q: find the perimeter of ABC with the given vertices 2. A(-2,3) B(-2,-3) C(3,0)

A: Perimeter of a triangle is the sum of lengths of the three sides. The length of a side is the…

Q: The vertices of ZBG are Z(7,9), B(4,5), and G(11,6) a. Find the coordinates of the midpoints P,Q,…

A: Given: Z=(7,9), B=(4,5)    and    G=(11,6)

Q: Find the perimeter of ADEF wit vertices D(3, 2), E(4, 2), and F(3,-2). 61 4- 3. 2 6-5-4-3 -1 1 234…

A:

Q: Evaluate ||e+ dA where D is the triangle with vertices (0,0), (-2,4) and (8,4). D

A: To find the value of given double integral.

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…

A:

Q: Vertices P and Q of hexagon PQRSTU are shown on the grid. Graph and label the other four vertices of…

A: Solution:

Q: -dA where R is the triangle of vertices (0,0), (1.0) and (0, 1). answer: 0

A:

Q: Find the area of the triangle with the given vertices. Hint: -||u x v|| is the area of the triangle…

A: In this question we have to find the area of the triangle.

Q: Find the area of the triangle P QR with vertices P (1, 1, 0), Q(7, 1, 0) and R(9, 4, 2). (Your work…

A:

Q: Find b and c so that y = la? + bx + c has vertex (3, – 6). %3D

A:

Q: The coordinates of the vertices of a triangle are G(-4, 2), O(5, -1), and T(10, 8). What is the…

A:

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

A:

Q: Evaluate O xy?dx + x5dy, where C is the rectangle with vertices (0,0), (6,0), (6,4), and (0,4)

A: Answer and explanation is given below...

Q: In(x + y) dA where R is the triangle with vertices (1,0), (1,1), (0, 1).

A: Let - I=∫∫Rln(x+y)dA Where R is triangle with vertices (1,0),(1,1),(0,1) Equation of line joining…

Q: for what value of k ,the point (k,k),(2,3) and (4,-1) are collinear

A:

Q: Find the area of the polygon PQRS with its vertices at P(1, – 1), Q(6, –1), R(6, -6), and S(1, -6).…

A:

Q: Given a Triangle of three vertices A(2,3), B(4,2) and C(3,0), Apply the shearing to the Triangle…

A:

Q: Find the three angles of the triangle with the given vertices: D(1, 1, 1), E(1, –4, 2), and…

A: The angle between the two vectors a→ and b→ is given by θ=cos−1a→⋅b→a→b→ where, a→⋅b→ is the dot…

Q: The area of the triangle with vertices at P = (1, 0, -2), Q = (2, 3, 1) and R = (2,1,0) is O a) V14…

A:

Q: Given the points M(-3,-4) and T(5,0), find the coordinates of the point Q on a directed line segment…

A:

Q: If the vertices of a polygon in counterclockwise order, are ( x1, y1 ) , ( x2, y2 ) , ... , ( xn, yn…

A: Here we use the formula for find the area of the triangle

Q: Give the coordinates of D' after Triangle BCD with vertices B(2,-1), C(4,1) and D(5,-2) is Dilated…

A: Note : When multiple questions posted, then only first question or one preferred question is has tto…

Q: The coordinates of the vertices of rectangle PQRS are shown below. Which of the following points is…

A:

Q: Consider the points A(3, –1,2), B(2, 1,5) and C(1,–2, –2) Find the area of parallelogram ABCD with…

A: Given points  A(3,-1,2) B(2,1,5) C(1,-2,-2)

Q: B. Find the perimeter of the triangle whose vertices are: 1. A(2,1), B(3, -5) and C(1, -3) 2.…

A: 1. A2,1, B3,-5, C1,-32. P3,0, Q6,4, R-1,3

Q: find the perimeter of ABC  with the given vertices 1. A(4,0) B(0,0) C(0,4)

A: Now, to find the values of the sides AB, BC, ACof the triangle ABC, the distance formula is used for…

Q: Consider points A(2, –3, 4), B (0, 1, 2) and C(-1,2,0). 1.4 Find the area of parallelogram ABCD with…

A: Given points are                                                       A=(2, -3, 4)B=(0, 1, 2)C=(-1,…

Q: Given the points A(-3, -4) and B(2, 0), find the coordinates of the point P on directed line segment…

A:

Q: Show that the points E(2, 2, 2), F(2, 0, 1), G(4, 1, -1) and H(4, 3, 0) are coplanar and that they…

A:

Q: 3. Evaluate y dA, where D is the triangle with vertices (2,0), (1,2), and (0, 2).

A: The question is from Advanced Calculus

Q: Use the Distance Formula to determine the type of triangle that has these vertices: a) A(0, 0), B(4,…

A: Note: Since you have asked multiple questions. We will solve the first question for you. If you want…

Q: Use the distance formula to determine whether the given vertices form a parallelogram. 3. J(0,0), K…

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

Q: Consider points A(2, –3,4), B(0, 1,2) and C(-1, 2,0). 1.4 Find the area of parallelogram ABCD with…

A:

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.