Find the area of a triangle PQR, where P = (0, 1, – 2), Q = (6, – 4, – 6), and R = (4, – 4, 6)

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

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Q: Find the area of the rhombus

A: Given image is   Find the area of rhombus?

Q: Find the length of the cardioid r=4+4cosθ

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Q: Find the area of the parallelogram ABCD, where A=(3,2),B=(5,4),C=(9,4), and D=(7,2).

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Q: b. Find the area of parallelogram with adjacent sides, a = 7i-j+k and b =2j – 3k

A: The adjacent sides are given as a→=7i-j+kb→=2j-3k The area of the parallelogram is given as A=a→×b→

Q: Find the measure of AB if C is the midpoint of AB , AC = 6x – 20, and CB = 4x – 2. 13. %3D -

A: Given data, C is mid-point of AB¯ AC = 6x-20 unitsCB = 4x-2  units

Q: Find the area of the parallelogram with sides  a = i − 6j + k  and  b = 3i + j + k.

A: Given , sides of parallelogram  a = i - 6j + k b = 3i + j + k

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

A: Calculate the cross product of two vectors and then find the magnitude

Q: ABCD is a parallelogram. If BE = x + 8 and ED = 5x, find BD. B A

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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: b. Find the area of parallelogram with adjacent sides, a = 7i -j +k and b =2j – 3k

A: As we know that; The expression for the area of the Parallelogram with adjacent sides a→ & b→;…

Q: Find the area of the triangle formed by the coordinate axes and the line  2y + 5x − 10 = 0

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Q: Find the area of the parallelogram that has two adjacent sides u = 5i + 4k and v i+2j + 2k

A: Area of parallelogram is obtained by the magnitude of cross product vectors of two adjacent sides.

Q: Find the area of the rhombus.

A: Area of a Rhombus = A = ½ × d1 × d2 Where d1 and d2 are the diagonals of the rhombus. d1 = 20 ft.…

Q: 12. Find the length of DH and HE in the parallelogram DEFG given DH = y +4, HF = 3x – 6, GH = 4y,…

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Q: Use the polygon method to get the resultant of the following displacement: (a) 5.0 km to the east,…

A: Given displacements: a5 km to the eastb7 km at 40° north of eastc8 km at 60° north of westd6 km at…

Q: In circle D, find x and mCBA 4x+8 A D Зх-19 В A x = 27, mCBA = 62 x = 27, mCBA = 116 C x = 23, mCBA…

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Q: r a 10. 6. 11. 4 12. 4V3 13. 14. 12

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

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Q: Find the area of the parallelogram if C = 20, D = 18, & F = 35. D F

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Q: Find the area of the parallelogram that has adjacent sides u=2i−j+k and v=2j−k.

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Q: Evaluate fS, 6x² – 40y dA, where D is the triangle with vertices (1,1), (5,0) and (5,3).

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Q: Find the measure of ZA in the parallelogram to the right. B C 6y°

A: Given: A parallelogram ABCD with  ∠A=4y°,  ∠B=4x-180°,  ∠C=x°,  ∠D=6y° . Since the opposite are…

Q: Find the area of triangle ABC, where A (1, 3, -2), B (5, 3, 1), and C (8,-2, -3). |

A: Here we have to find the area of the triangle ABC having vertex A(1,3,-2), B(5,3,1) and C(8,-2,-3)

Q: Find the area of the parallelogram with adjacent sides, a = i-j+k and b 2j – 3k %3D

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Q: The area of triangle BCD is one third the area of triangle ABC as shown. BD = 3 and ẠC = 10. Find…

A: Given, The diagram of the triangle BD =3  and  AC = 10  ∠A = 30°   Area of∆BCD = 13×Area of ∆ABC  We…

Q: The diagonals of rectangle QRST intersect at P. Given that mZPTS = 34° and QS = 10 , find RT. R 34°…

A: Given: m∠PTS=34° QS=10

Q: Use the Pythagorean theorem to determine the length of each segment in the figure shown. 6. 1. AB 4…

A: The given figure is: From the given diagram it is clear that: AX=3BX=3YG=1FY=4CZ=5DZ=3

Q: Find the length of the hypotenuse of the right triangle shown below. -5 -3 2 1. 1 2 3 5 6 7 8 9 10…

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Q: 2 Find the values of the unknowns in each of the following parallelograms. (a)/D b° a° 106° 48' riw…

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Q: Find the area of the parallelogram with adjacent sides u = i + 3j − 2k and v = 3i − j − k.

A: u=i+3j-2k  &  v=3i-j-k Now, u×v=ijk13-23-1-1=i-3-2-j-1+6+k-1-9=-5i-5j-10k

Q: In the parallelogram ABCD given below, find ZA, ZB, 2C and <D. D 2x

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

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Q: Find the area of the triangle with vertices P1, P2, and P3, where −−→P1P2 = 2i + 3j − k and −−→P1P3…

A: Given :            Triangle with vertices P1, P2 and P3 where P1P2→ = 2i→ + 3j→ - k→ and P1P3→ =…

Q: Find the area of the parallelogram with vertices A(−3, 0), B(−1, 4), C(6, 3), and D(4, −1).

A: The area of the parallelogram with the vertices is given by,

Q: If |(3d + b) x (a+ b)| = 24, then the area of the parallelogram determined by ā and b is O A. 4 о в.…

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

Q: In the diagram below of triangle JKL, M is the midpoint of JL and N is the midpoint of KL. If MZLJK…

A: Since --M is the midpoint of  LJ  --N is the midpoint of LK hence MN and JK will be parallel to each…

Q: Find the semiperimeter s of triangle ABC. a = 3.1 m, b = 2.5 m, c = 2.7 m s =

A: Known fact: Let a, b and c are sides lengths of triangle. then semi perimeter is given by s=a+b+c2.

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 b)…

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Q: AABC is an isosceles right triangle with hypotenuse AC of length 2V2. If medians AD and BE intersect…

A: Since ∆ABC is an isoscles right triangle with hypotenuse AC of length 22 if median AD and BE…

Q: Find the area of the parallelogram that has two adjacent sides u=-3i+2k and v=i+j+2k

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Q: Reyna drew a parallelogram ABCD as shown on the coordinate grid below. y 8 9 -8-7-6-5 4-3-2-1 0 i23…

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Q: Calculate the area of the parallelogram with the given vertices. (-1,- 2), (2,5), (8,2), (11,9) O A.…

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Q: 13) Find the exact perimeter and area of the segment shown, given that m Z0=120° and OA = 14 in. %3D…

A: Explanation: Given that                             We see that, OA and OB area the radius. So, OA =…

Q: Find the area of the parallelogram with vertices (0,0), (4,0), (5,2) and (1,2). (1,2) (5, 2) (0,0)…

A: Here, we need to find the area of the given parallelogram.

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

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Q: 29. Find a formula for the area of the triangle whose vertices a 0, V1 , and v2 in R².

A: Given that  Vertices of the triangle is 0,v1,V2  To find the area of the triangle

Q: Find the area of the rhombus if R 30 & V = 21. R

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