6. Let V₁, V2, V3 € R³ be nonzero such that v3 € (V1, V2), but v2 (v₁). Which of the following is true? (a) V₁, V2, and v3 are coplanar. (b) V₁, V2, and v3 are collinear. (c) V₁, V2, and v3 are linearly independent. (d) v₁, V2, and v3 span R³. 7. Which of the following sets of functions is linearly dependent on R[0,2]? (a) {6, x, sinx} (b) {1, sin x, sin 2x} (c) {cos 2x, sin² x, cos²x} (d) {x, cos x}

6. Let V₁, V2, V3 € R³ be nonzero such that v3 € (V1, V2), but v2 (v₁). Which of the following is true? (a) V₁, V2, and v3 are coplanar. (b) V₁, V2, and v3 are collinear. (c) V₁, V2, and v3 are linearly independent. (d) v₁, V2, and v3 span R³. 7. Which of the following sets of functions is linearly dependent on R[0,2]? (a) {6, x, sinx} (b) {1, sin x, sin 2x} (c) {cos 2x, sin² x, cos²x} (d) {x, cos x}

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 32E

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