Work Problem 2 [3](a)[3Find a vector equation and parametricequations for the line that passes through thepoint A(5, 1, 4) and parallel to the line:x = 3t2, y = t − 5, z = t - 2.-(b)] Let A(-2, 5, x) and B(4, 7, -2) be twopoints in the three-dimensional space. Find thevalue of x such that the vectors OA and OBare orthogonal.(c){Let x be the value found in part (b), andlet C be the fourth vertex of the rectangleOACB. Find the area of this rectangle.

Answered: Image /qna-images/answer/f83250e1-e439-472c-8a34-352f54024611.jpg

Answered: Work Problem 2 [ 31 (a)[3 Find a vector…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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From the system x' = -x + 5y og y' = -y show that the vector function (top of picture) is a solution of the system only if (bottom of picture) is true.
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Find the equation of the plane in xyz-space through the point P=(3,3,2) and perpendicular to the vector n=(−2,1,5).
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Find the set of symmetric and parametric equations of the line passing through the point P(3, 4, 1) that is parallel to the plane 3x−2y −z −4 = 0 and perpendicular to the line 2x = −y/2 = −3z.
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Suppose that z is an implicit function of x and y in a neighborhood of the point P = (1, 1, 0) of the surface S of the equation: xy + yz + zx = 1 An equation for the line tangent to the surface S at the point P, in the direction of the vector w = (1, −2), corresponds to: The answers are in the attached image.
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5)Find the terminal point of the vector that is equivalent to u = (1, 2) and whose initial point is A(1, 1).
1.Let u = (-4, 3) and v = (6, -1). What is the orthogonal projection of u onto v?2.Let u = (3, 1, -7) and v = (1, 0, 5). What is the orthogonal projection of u onto v?3.Let u = (-4, 3) and v = (6, -1). What is the vector component of u orthogonal to v?4.Find the distance between the point (3, 1, -2) and the plane x + 2y - 2z = 4.

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