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rieve?url=https%3A%2F%2Fenv.mathematiq.com%2Fcgi-bin%2Fview-content.py%3Fcontent_id%3D911 MA-123-A e: 1 of 1 Automatic Zoom a 123 - Calculus 2A Hw-4 Due: March 2, 2020 gibility, organization of the solution, and clearly stated reasoning where appropriate are all aportant. 1. Find the unique unit vector = (v1, v2, v3) that is orthogonal to (1, 1, –2), forms an angle of * with (1, 1, 1) and has vi < 0. 2. Find the unique unit vector that bisects the angle between = 37+ 47 and w = 57- 127. 3. Let P = (1,0, 2), Q = (-2, 1, 1), R= (a, ß,7) be points in R' for real numbers a, B, and y. %3D (a) For what values of a, B, and y is there a unique plane II, 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.

rieve?url=https%3A%2F%2Fenv.mathematiq.com%2Fcgi-bin%2Fview-content.py%3Fcontent_id%3D911 MA-123-A e: 1 of 1 Automatic Zoom a 123 - Calculus 2A Hw-4 Due: March 2, 2020 gibility, organization of the solution, and clearly stated reasoning where appropriate are all aportant. 1. Find the unique unit vector = (v1, v2, v3) that is orthogonal to (1, 1, –2), forms an angle of * with (1, 1, 1) and has vi < 0. 2. Find the unique unit vector that bisects the angle between = 37+ 47 and w = 57- 127. 3. Let P = (1,0, 2), Q = (-2, 1, 1), R= (a, ß,7) be points in R' for real numbers a, B, and y. %3D (a) For what values of a, B, and y is there a unique plane II, 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.

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 7PS
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Can you help me find the unique vector described in problem 2?

rieve?url=https%3A%2F%2Fenv.mathematiq.com%2Fcgi-bin%2Fview-content.py%3Fcontent_id%3D911 MA-123-A e: 1 of 1 Automatic Zoom a 123 - Calculus 2A Hw-4 Due: March 2, 2020 gibility, organization of the solution, and clearly stated reasoning where appropriate are all aportant. 1. Find the unique unit vector = (v1, v2, v3) that is orthogonal to (1, 1, –2), forms an angle of * with (1, 1, 1) and has vi < 0. 2. Find the unique unit vector that bisects the angle between = 37+ 47 and w = 57- 127. 3. Let P = (1,0, 2), Q = (-2, 1, 1), R= (a, ß,7) be points in R' for real numbers a, B, and y. %3D (a) For what values of a, B, and y is there a unique plane II, 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:rieve?url=https%3A%2F%2Fenv.mathematiq.com%2Fcgi-bin%2Fview-content.py%3Fcontent_id%3D911 MA-123-A e: 1 of 1 Automatic Zoom a 123 - Calculus 2A Hw-4 Due: March 2, 2020 gibility, organization of the solution, and clearly stated reasoning where appropriate are all aportant. 1. Find the unique unit vector = (v1, v2, v3) that is orthogonal to (1, 1, –2), forms an angle of * with (1, 1, 1) and has vi < 0. 2. Find the unique unit vector that bisects the angle between = 37+ 47 and w = 57- 127. 3. Let P = (1,0, 2), Q = (-2, 1, 1), R= (a, ß,7) be points in R' for real numbers a, B, and y. %3D (a) For what values of a, B, and y is there a unique plane II, 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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