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Comparing Planes In Exercises 69-74, determine whether the planes are parallel, orthogonal, or neither. If they are neither parallel nor orthogonal, find the angle between the planes.
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Chapter 11 Solutions
Bundle: Calculus: Early Transcendental Functions, Loose-leaf Version, 6th + WebAssign Printed Access Card for Larson/Edwards' Calculus: Early Transcendental Functions, 6th Edition, Multi-Term
- Determine whether the planes are parallel, perpendicular, or neither. бх + 6у + 6z 1, 6х — бу+ 6z 3D 1 O parallel O perpendicular neither If neither, find the angle between them. (Round your answer to one decimal place. If the planes are parallel or perpendicular, enter PARALLEL or PERPENDICULAR, respectively.)arrow_forwardDetermine whether the planes are parallel, orthogonal, or neither. If they are neither parallel nor orthogonal, find the angle between the planes. plane 1: 5x -3y +z = 4 plane 2: x + 4y+ 7z = 1arrow_forwardThe distance, d, between the points (x1, y1) and (x2, y2) in the rectangular coordinate system is d =________.arrow_forward
- Fill in the blanks so that the resulting statement is true.The axes of the rectangular coordinate system divide the plane into regions, called_______ . There are_______of these regions.arrow_forward1. (a) Find uxv and show that it is orthogonal to both u and v u = v = (b)The vertices of a triangle are given. Determine whether the triangle is an acute triangle, an obtuse triangle or a right triangle. Explain your reasoning. (1,2,0).(0,0,0).(-2,1,0)arrow_forwardDetermine whether the planes are parallel, orthogonal, or neither. 3x 15y 3z = 2 4x - 20y - 4z = -6 parallel orthogonal neither Find the angle between the planes. (If an answer does not exist, enter DNE.)arrow_forward
- Determine whether the planes 5x − 3y + z = 4, x + 4y + 7z = 1 are parallel, orthogonal, or neither. If they are neither parallel nor orthogonal, find the angle between the planes.arrow_forwardHow do you determine when two planes intersect? How do you find the line of intersection when they do?arrow_forwardMode(a-b) = mode (a+b) Prove that a and b are perpendiculararrow_forward
- Determine if the planes 3x + 2y-z 7; x-9y+ 2z 0 are parallel, orthogonal, or neither. If they are neither parallel nor orthogonal, find the angle of intersection.arrow_forwardWrite a vector equation, parametric equations, and symmetric equations for a line.arrow_forwardSketch the plane representing −2x² = −8 Instructions:show the planearrow_forward
- Algebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
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