Given the vector properties: A x (B x C) = (A • C)B - (A • B)C (A x B) x C = (A • C)B - (B • C)A (A x B) x (C x D) = [A,C,D]B - [B,C,D]A (A x B) • (C X D) = (A • C)(B • D) - (A • D)(B • C)   Derive the following 2 identities: 1) (A x B) • (B x C) x (C x A) = [A,B,C]2 2) A x (B x C) + B x (C x A) + C x (A x B) = 0

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A: Assume that gf: S→R is onto,Then, by the definition of onto:

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A: Consider the given function:

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Q: What is the fibonacci sequence?

A: Fibonacci sequence are the numbers that have the following sequence.1,1,2,3,5,8,13,21,34,55,89,144….

Q: 36005+3977=?

A: The addition is shown below:

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A: (1) to discuss the preimage (if it exists) and (2) the linear dependence question

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A: To show that the group U(14) is generated by 3 as well as by 5. Is 11 a generator of U(14)?

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Q: Use the definition of Laplace Transforms to show that:

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Q: Prove that in a group, (ab)^2=a^2b^2 if and only if ab=ba.

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Q: 12

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A:

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A:

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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.