RX and RY are the perpendicular bisectors of AB and AC, respectively. Prove: (a) A RAX A RBX STATEMENTS REASONS (b) RA RB = RC nd RY e the I bisectors of 5 mnd Tr respeetively Giuen

Q: Find the cross product a x b. a = 5j 6k, b = −i + 2j + k Verify that it is orthogonal to both a and…

A: NOTE: Refresh your page if you can't see any equations. . given vectors are

Q: Let ((u,u2,u3),(V1,V2,V3))=2u,Vị+3u2V2+U3V3 be an inner product on R3. Determine the angle in…

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Q: BC cuts the x-axis at D. E is a point on AC such that BA // DE. Given points A(-4,8), B(5,2),…

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Q: 2. In the figure, 21 = 2, 23 = L 4 and BD = CF. Prove that AC = EF and AB = DE. E В F D C 2.

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Q: 3 Given that u = 4i+ GJ and Iv[ = 2, find vif u and V are or thugonal to each other.

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Q: 10e dz by residue theorem, where C is the contour |2| = 2 Je 1z4 +5z3 Evaluate

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Q: Given: D is the midpoint of AC АС — ВС A CD 2х + 5 ВС — х + 28 Find: АС

A: Given: D is the midpoint of AC. AC=BC CD=2x+5 BC=x+28

Q: In the dogram B,cand O lie in the same honzentai plane and AB IS verical to the plane. AD = 2p and…

A: Concept of Cosine rule is required to solve this problem.

Q: II1. Find all constants a for which the (smaller) angle between the planes ax + y + z =7 and x – y +…

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Q: 20. MB is a perpendicular bisector of JK. Find the value of x. Work: 9x 18 3x K B

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Q: If NM = 3i- j - k and NP = i + 2j-5k Find PM: PM: А

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Q: Find the value of x. Each figure is a parallelogram. 20) XS- 13 sz-12r+1 21) CX-23 XE - 3x-4 22)…

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Q: Find a relating ab and c Sothat the linear Systen X +2y- 2X +3 y +3Z = 6 5X +9y - 6Z = c eojarrar A…

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Q: Trisect a given quadrilateral by means of two straight lines drawn from (i) one of its vertices;…

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Q: Q4: using scalar prodect to find the angle between A= 2i+3j+1k B= -4i+2j-1k

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Q: Use geometry to evaluate J JR (8 - 2y)dA, where R = [O,3 ] x [0,4].

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Q: Consider AGHJ in the figure below. The perpendicular bisectors of its sides are KN, LN, and MN. They…

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Q: 2-89. If F = {3501 - 250j – 450k} N and cable AB is 9 m long, determine the x, y, z coordinates of…

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Q: Figure shows the following three vectors: - (42 mi - (1.5 m 6-(-1.6mi + (2.9 mj. 2(-3.7 mj. What is…

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Q: Let à x b = -38 i +6 j 20 k Where a = -2 i + 4 j + 5 k and b = mi + 6 j − 2 k, ɓ Calculate m, là b,…

A: Basic formulas from vectors will be used.

Q: If u- i+ j+ k, v= 10 i +4j+6 k, y w= 8 i+9j+7 k, evaluate the dot triple product (u x v) - W. 86…

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Q: (a) Evaluate APA: – 6) R where R is the solid hemisphere r² + y² + :² – 2r + 4y = 4, : 0.

A: We want to evaluate  ∫∫∫R9-z2dV where R is the solid hemisphere x2+y2+z2-2x+4y=4, z≥0 We can write…

Q: Which statement is right? a. If pi/3 is the angle between u and v, then u . v = 1/2 ||u||||v|| b. If…

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Q: Consider the following. Find u x v. u = 2i + 4j, v = -2i+j+ 7k Determine if u × v is orthogonal to…

A: The objective of this question is to find the cross product of vectors u and v, and then determine…

Q: If LM bisects ZJLK find LJ. J x+ 3 8. a 18 11 14 Od 21

A: From the given figure: In triangles ∆JLM and ∆MLK ∠JLM=∠MLK LM sides are common. It means that…

Q: Q.1) Evaluate rsec(x) 3cos(x) dydx Q.2) Evaluate -dzdrdy 1+y

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Q: Exercise Pustlems #: A. Deter hiine the Yp of tue difft'l eghs shorwn belou iII) yiv -y" - 4x+ 2xe.

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Q: j √(6y 7 + 9z 7 + 6xk) · d7 where C is the boundary of the triangle with vertices (3, 0, 0), (0, 5,…

A: First parametrize the boundaries of the triangle. (3,0,0) to…

Q: Let u = 3ai +j+ 4ak and v = 3i + (a+3)j – 4k. (a) Find the values of a if u and v are orthogonal.…

A: The given vectors are u=3αi+j+4αk and v=3i+(α+3)j-4k. (a) It is given that u and v are orthogonal.…

Q: Let a = 4i + 3j – k, b = 2i – j + xk and c = yi + zj – 2k. Find: %3D %3D a x such that a and b are…

A: Two vectors are said to be perpendicular to each other if their dot product is zero. We will use…