1. Determine the exact value(s) of k for which the planes x– 2y + kz + 7= 0 and x– 2y – 2 = 0 have an angle ofintersection of 45°?2. The plane with equation: † = (0,1, –4) + s(2,3,0) + t(1, –1,–5), s, t e R, intersects the x-axis at -2 and the y-axis atan unknown point A. Determine the equation of the line that contains these two points.

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Answered: 1. Determine the exact value(s) of k…

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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1. Find the point of intersection of the three planes using algebraic equation. x-3y-2z=-9 2x-5y+z=3 -3x+by+2z=8
1. Which value of k will make the lines: r = (1,2) +s(2,3), s e R and 9x + ky = 0 parallel? 2. Determine the parametric cquations of a line passing through the point P(3, 2, –1) and with a direction vector perpendicular to the line r - (2,-3,4) + s(1, 1,–2), s e R. 3. Determine the Cartesian equation of the plane having x-, y-, and z-intercepts of -3, 1, and 8 respectively.
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1. Determine the exact value(s) of k for which the planes x– 2y + kz + 7= 0 and x– 2y – 2 = 0 have an angle of intersection of 45°?