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4. Find an equation for the plane through (1, 3, 4), (2, 2, 3), and (3, 2, 1).

4. Find an equation for the plane through (1, 3, 4), (2, 2, 3), and (3, 2, 1).

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section: Chapter Questions
Problem 4DE
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1. For the vectors v = <1, -1, 2> and u = <3, 1, -1> a. Find vou b. Find ||v|| and ||u|| c. Find the angle between v and u. 2. Determine whether the vectors a and b are parallel, orthogonal or neither for the given a and b. a. a = <1, 2, 3> and b = <5, -1, -1> b. a = <1, 2, 3> and b = <4, 8, 12> c. a = <1, 2, 3> and b = <2, 4, 3> 3. Find the cross product u X v when u = <0, 1, 1> and v= <1, 0, 1>. 4. Find an equation for the plane through (1, 3, 4), (2, 2, 3), and (3, 2, 1). 5. Find parametric equations for the line through the points (1, 3, 0) and (2, 4, 4).
Transcribed Image Text:1. For the vectors v = <1, -1, 2> and u = <3, 1, -1> a. Find vou b. Find ||v|| and ||u|| c. Find the angle between v and u. 2. Determine whether the vectors a and b are parallel, orthogonal or neither for the given a and b. a. a = <1, 2, 3> and b = <5, -1, -1> b. a = <1, 2, 3> and b = <4, 8, 12> c. a = <1, 2, 3> and b = <2, 4, 3> 3. Find the cross product u X v when u = <0, 1, 1> and v= <1, 0, 1>. 4. Find an equation for the plane through (1, 3, 4), (2, 2, 3), and (3, 2, 1). 5. Find parametric equations for the line through the points (1, 3, 0) and (2, 4, 4).
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