Q1 Needed to be solved correctly in 30 minutes and get the thumbs up please show neat and clean workPlease 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) inR³2. Show that if VER³ is a vector and that a ER is a real number, then v^ (av) = 03. Consider the whole:R= (r, 0) |2

Introduction: An indefinitely long, smooth, two-dimensional surface is known as a plane. A point, a…

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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

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.7: Distinguishable Permutations And Combinations

Problem 21E

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Question

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

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