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1. Find the equation of the plane that passes through the points (1,0,-1), (0,2,3) and (0,0,5) in

1. Find the equation of the plane that passes through the points (1,0,-1), (0,2,3) and (0,0,5) in

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.1: Parabolas
Problem 39E
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Q1 Needed to be solved correctly in 30 minutes and get the thumbs up please show neat and clean work Please don't copy , if you copy I will not accept the Answer
1. Find the equation of the plane that passes through the points (1,0,-1), (0,2,3) and (0,0,5) in R³ 2. Show that if VER³ is a vector and that a ER is a real number, then v^ (av) = 0 3. Consider the whole: R= (r, 0) |2 <r <3, ≤ 0s 2π 3 Draw R in the (r, 0) plane, write R in Cartesian coordinates x = r cos 0, y = r sin 8, and draw R in the (x, y) plane. 2 4. Write the surface z = x+y in cylindrical coordinates (simplify its expression if possible). 2 2 v in spherical coordinates (simplify its expression if
Transcribed Image Text:1. Find the equation of the plane that passes through the points (1,0,-1), (0,2,3) and (0,0,5) in R³ 2. Show that if VER³ is a vector and that a ER is a real number, then v^ (av) = 0 3. Consider the whole: R= (r, 0) |2 <r <3, ≤ 0s 2π 3 Draw R in the (r, 0) plane, write R in Cartesian coordinates x = r cos 0, y = r sin 8, and draw R in the (x, y) plane. 2 4. Write the surface z = x+y in cylindrical coordinates (simplify its expression if possible). 2 2 v in spherical coordinates (simplify its expression if
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