Find the area of the triangle formed by the three points P(1,0,1),Q (2,0,2), and R(3,3,3). a) 2.2 b) 0 d) e) None of them

Q: Consider the triangle with vertices in the points D(-5,0,5), E(2, 1,3), and C(3, 1,4). Compute the…

A: Vertices of triangle D(-5, 0,5) , E(2, 1,3) and C(3, 1,4) . We have to compute the area of triangle…

Q: Another way to prove the Isosceles Triangle Theorem starts by locating the midpoint of AB and…

A: As per guildlines we can solve one question at a time if you still need answers of all ask them…

Q: Find the area of the parallelogram that has u = 2i – j+ 2k and v = 2j + 3k as adjacent sides. NOTE:…

A:

Q: Find the area of the triangle formed by the three points P(1,0,1), Q (2,0,2), and R(3,3,3). a) 2.2…

A:

Q: Let AABC have incircle C(O,r), and let the points of tangency of C(0,r) with BC, AC, AB be D, E and…

A: Tangent is a line that just touches the figure.  Angle bisectors are those line segments that…

Q: Find the area of the triangle determined by the points P, Q, and R. 1- P(1, –1,2), Q(2, 0, –1), R(0,…

A: To find the area of the triangle determined by the points P,Q and R.

Q: A triangle has circumcenter with sides 170.4 m, 198.8 m, and 227.2 m. Determine the distance from…

A:

Q: ABC is a right angled triangle right angled at B. If P and Q are the mid - points of the sides AB…

A: Given:

Q: 2. Prove that if the Fermat-Torricelli point of an acute triangle ABC coincides with the incenter,…

A:

Q: Find the area of the parallelogram that has u =i- 2j + k and V=2j+ k as adjacent sides. NOTE: Enter…

A: Find the area of parallelogram

Q: Point D is the incenter of triangle AABC, where mZABC MZBCD = 2 · MZBAD. Determine m2ADB, MZADC, and…

A: Given, D is the incenter  of triangle ∆ABC Where    m∠ABC = 60°     and  m∠BCD = 2.m∠BAD   We have…

Q: Which set of integrers represents the lengths of the sides of an isosceles triangle? OA. (15,5,10}…

A: solutions:-An isosceles triangle has two side of equal lengthand sum of any two sides is greater…

Q: Calculate the area of the triangle defined by u = (1, 6, 2), v = (3, 0, 5). [A3]

A: Here we have to calculate the area of the triangle having vectors,  u→=(1,6,2) and v→=(3,0,5)

Q: Find the area of the parallelogram that has u = 2i – 3j + 2k and v = 2j +k as adjacent sides. NOTE:…

A: The formula for the area is |u x v| u=2i-3j+2k v=2j+k u x v=ijk2-32021         =i(-3-4)-j(2-0)+k(4)…

Q: Find the of the triangle area with verfices Pl2,2,0), Q(13,-1) and R(-4,2,1)

A:

Q: Find the area of the parallelogram that has u = 2i – 3j + 2k and 2j +k as adjacent sides. NOTE:…

A:

Q: Given the regular hexagon, find the measure of each numbered angle. O A. mz1 = 30°, m2= 60°, mZ3 =…

A:

Q: 4. Classify the following triangle based on its angles. Scalene Acute O Right Obtuse

A: The figure of the triangle is given by :

Q: where ABC is an isosceles triangle in which AB = AC. P is any point in the interior of AABC such…

A: Given:    AB = AC   <ABP = <ACP

Q: Find the area of the parallelogram that has u =i-j+ 2k and v = 3j+k as adjacent sides. NOTE: Enter…

A: Topic = Vectors

Q: A quadrilateral has vertices A = (0, 0), B = (2,4), C = (0,5), and D = (-2, 1). Prove ABCD is a…

A:

Q: Consider the triangle with vertices at R(- a, 0), S(a, 0), and T(0, b). Explain why ARST is an…

A: Given:

Q: Lines a, b, and c are coplanar, a II b, and a ± c. What can you conclude? explain?

A: Consider the given information as a∥b and a±c

Q: Find the area of the parallelogram that has u = (1, 3, 0) and v = (−1, 0, 2) as adjacent sides.

A: Now cross product is,

Q: ABCD is a quadrilateral and G, H are the middle points of AC, DB. If CB, DA are produced to meet in…

A:

Q: Area of E (0,8), X (9,6), P(8,10)

A: We know that area of a triangle △ABC with vertices Ax1,y1, Bx2,y2 and Cx3,y3 is given as…

Q: What is the area of the triangle ABC with vertices A(1,2,3), B(2, 4, 3), C(1,2, 0) ?

A:

Q: Consider a triangle with vertices X, Y, and Z.

A: Definition used -              Triangle law of vector addition -                  According to…

Q: A secant to two congruent circles, which is parallel to the line of centers OO', meets the first…

A:

Q: Find the area of the parallelogram that has u =i-j+ 2k and v = 2j +k as adjacent sides. %3D NOTE:…

A:

Q: Find the area of the parallelogram that has u = i - 2j + k and v = 3j + 2k as adjacent sides. %3D…

A:

Q: Find the area of the parallelogram that has u = i - j+ 2k and v = 3j + k as adjacent sides. %3D…

A:

Q: Find the area of the parallelogram that has u = i – 2j + k and v = 3j + 2k as adjacent sides. NOTE:…

A:

Q: Prove that the area of a triangle AABC is given by JAABC| = /5(s – a)(s – b)(s – c),

A:

Q: Let ABC be a triangle and let P be a point inside. Let X, Y, Z be the intersections of AP, BP, CP…

A: Using Ceva's Theorem:     CXXB·BZZA·AYYC=1 ⇒CX·BZ·AY=XB·ZA·YC

Q: 44. Prove: The diagonals of an isosceles trapezoid are congruent.

A:

Q: Find the area of the parallelogram that has u = 2i – 3j+ 2k and v = 2j +k as adjacent sides. NOTE:…

A:

Q: 23. A rhombus (not shown) has sides of length 6 inches and diagonals of length 4 inches and 11…

A: Area of Rhombus = 1/2 * (product of diagonals)

Q: Use Theorem 11.4.1 to show that the area of an equilateral triangle with sides of length s is given…

A: Consider the given:  Let the length of side of Equilateral triangle is “s”.

Q: In rhombus VENU, diagonals N and EU intersect at S. If VN = 12 and EU = 16, what is the perimeter of…

A: We know that the diagonals of a rhombus bisect each other. Given that VN=12, so VS=122=6EU=16, so…

Q: Find the area of the parallelogram that has u = 2i – j+ 2k and v = 2j + 3k as adjacent sides. NOTE:…

A:

Q: The midpoint of AB is at (0, 2). If A = (– 9, – 2), find B. |

A:

Q: A quadrilateral has vertices A = (0, 0), B= (2,4), C = (0,5), and D = (-2, 1). Prove ABCD is a…

A: Given :

Q: Let AABC have incircle C(O,r), and let the points of tangency of C(O,r) with BC , AC, AB be D, E and…

A: Given a triangle ABC, in which a circle is inscribed with center at O and radius r as shown in the…

Q: Find the area of the parallelogram that has u = 2i – 3j + 2k and v = 2j + k as adjacent sides. NOTE:…

A:

Q: Consider the triangle ABD formed with the points A(1,-4), B(-4,1) and D(-3,-5). determine its…

A:

Q: Find the area of the parallelogram that has u = 2i – j+ 2k and v = 2j + 3k as adjacent sides. %3D…

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.