Given: BR and DM Z1E2 23E24 Prove: ABCD is a parallelogram 1 M A

Q: The vectors a and b are such so that a = √10, b = 10 Find the value of lax bl. and a b = 30

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Q: L. 4y – 2 - 2 M 2х + 10 |15 +х K 8—у N 'N,

A: Property of Parallelogram: Opposite sides are equal.

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: Parallelogram ABCD with DE I AB and FB 1 AB Given: Prove: DE = FB Plan: First show that DEBF is a…

A: Given: A parallelogram ABCD with DE ⊥AB & FB ⊥ AB To prove: DE ≅ FB

Q: 18 m&KJN = N 63° 9 M Quadrilateral JKLM is a parallelogram. What is the m&KJN?

A: Quadrilateral JKLM is a parallelogram. To find: m∠KJN

Q: Answer this question by considering A(X1,Y1), C(X2,Y2) and B=u+v=(X1+X2,Y1+Y2), and justify your…

A: Step 1: Express the vectors in terms of u and vStep 2: Step 3: Step 4: Since both pairs of opposite…

Q: als Test 1. In parallelogram ABCD, m<a = 112° , Find: m<B m<C = m<D %3D B

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Q: Tind he latance from the pomt (-2, 4) to tu plane 37+2y4 6E5

A: Given a point (1, -2, 4) and a plane 3x + 2y + 6z = 5

Q: 10. If r = 3i+2j + 8k show that I•I = |r|² 11. Find the component of the vector r=1-j + 3k in the…

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Q: What is the distance between the given planes? P1: z= x + 2y + 1 P2: 3x + 6y - 3z = 4

A: To solve the given problem:

Q: ABCD is a parallelogram, solve for x. x+30 X-10 x+10 2x

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Q: For what value of t with the two planes be parallel? ¹₁ = 3x + 2y+z=6=0 ¹₂ = 6x + ty + 2z - 9 = 0 02…

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Q: What is the distance between the origin and the plane 3x-2y + 5z +7=0? O 7 7√√30 30 7√√√38 38 0

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Q: Find the cross product a × b. a = i + et j + e−t k,      b = 7i + et j − e−t k

A: Ans:  We have to find the cross product a→×b→         a→=i+etj+e-tk; b→=7i+etj-e-tk

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.