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careTEAM STEVENS INSTITUTE of TECHNOLOGY

careTEAM STEVENS INSTITUTE of TECHNOLOGY

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 27PFA
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Can you help me find the vector v given the conditions shown in question 1?

careTEAM STEVENS INSTITUTE of TECHNOLOGY <v1, v. X + ols/retrieve?url=https%3A%2F%2Fenv.mathematiq.com%2Fcgi-bin%2Fview-content.py%3Fcontent_id%3D911 20S MA -123-A Page: 1 of 1 Automatic Zoom Ma 123 - Calculus 2A Hw-4 Due: March 2, 2020 Legibility, organization of the solution, and clearly stated reasoning where appropriate are all important. 1. Find the unique unit vector u = (v1, v2, v3) that is orthogonal to (1, 1, -2), forms an angle of * with (1, 1, 1) and has vi < 0. %3D 2. Find the umique unit vector that bisects the angle between i = 31 + 4 and w = 57- 127. 3. Let P = (1,0, 2), Q = (-2, 1, 1), R= (a, B,) be points in R' for real numbers a, B, and (a) For what values of a, B, and y is there a unique plane II1 passing through the points P,Q, and R? (b) For such values of a, B, and y, find an equation for the plane II2 which passes through the point Q and is orthogonal to both the plane II1 and the plane II3 given by the equation -3x + y – z + 5 = 0.
Transcribed Image Text:careTEAM STEVENS INSTITUTE of TECHNOLOGY <v1, v. X + ols/retrieve?url=https%3A%2F%2Fenv.mathematiq.com%2Fcgi-bin%2Fview-content.py%3Fcontent_id%3D911 20S MA -123-A Page: 1 of 1 Automatic Zoom Ma 123 - Calculus 2A Hw-4 Due: March 2, 2020 Legibility, organization of the solution, and clearly stated reasoning where appropriate are all important. 1. Find the unique unit vector u = (v1, v2, v3) that is orthogonal to (1, 1, -2), forms an angle of * with (1, 1, 1) and has vi < 0. %3D 2. Find the umique unit vector that bisects the angle between i = 31 + 4 and w = 57- 127. 3. Let P = (1,0, 2), Q = (-2, 1, 1), R= (a, B,) be points in R' for real numbers a, B, and (a) For what values of a, B, and y is there a unique plane II1 passing through the points P,Q, and R? (b) For such values of a, B, and y, find an equation for the plane II2 which passes through the point Q and is orthogonal to both the plane II1 and the plane II3 given by the equation -3x + y – z + 5 = 0.
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