Find the requested equations belowFind some symmetric equations for the line with point P(4, -4, -4)parallel to the vector 2i - 8j - 2k.y+4 z+4y+ 4 z+ 4-8-2-8-2-2C) -4.Y+ 4 z+ 4-8x - 4D) .y+4 Z+ 42-82

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Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Describe the solutions of the first system of equations below in parametric vector form. Provide a geometric comparison with the solution set of the second system of equations below. Describe the solution set, x = O 4x₁ +4x2 + 8x3 = 16 - 8x₁ - 8x2-16x3 = - 32 - 3x2-3x3 = 15 , of the first system of equations in parametric vector form. Select the correct choice X2 X3 below and fill in the answer box(es) within your choice. (Type an integer or fraction for each matrix element.) O O A. X= B. X=X₂ C. X= D. X=X₂ + X3 X1 + X3 4x₁ + 4x2 + 8x3 = 0 - 8x₁ - 8x₂ - 16x3 = 0 - 3x2-3x3 = 0
The zero vector 0 = (0, 0, 0) can be written a linear combination of the vectors v., v,, and v- because 0 = Ov, + 0v, + 0v3. This is called the trivia! solution. Can you find a nontrivial way of writing 0 as a linear combination of the three vectors? (Enter your answer in terms of v., v,, and v- If not possible, enter IMPOSSIBLE.) V1 = (1, 0, 1), V2 = (-1, 1, 2), V3 = (0, 1, 6)
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Are the vectors -2-², 1+ 2x + x² and 2x - 2-2 linearly independent? choose If the vectors are independent, enter zero in every answer blank since zeros are only the values that make the equation below true. If they are dependent, find numbers, not all zero, that make the equation below true. You should be able to explain and justify your answer. 0=(x-2-x²)+[ | (1 + 2x + x²)+ (2x − 2 − x²).
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Find the requested equations below Find some symmetric equations for the line with point P(4, -4, -4) parallel to the vector 2i - 8j - 2k. A) - c) . y+4 z+ 4 -8 -2 -2 y+4 z+ 4