j.rahulsubject-algebera Let u = (2, -3, 4) and v = (-1, 0, 5) be two vectors in R³.1) Find 4u + v.2) Find u- v, ||u||, |v|| and the angle 0 (0 ≤ 0

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Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.4: The Dot Product

Problem 9E

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Similar questions

Take this test to review the material in Chapters 4and Chapters 5. After you are finished, check your work against the answers in the back of the book. Write w=(7,2,4) as a linear combination of the vectors v1, v2 and v3 if possible. v1=(2,1,0), v2=(1,1,0), v3=(0,0,6)
Consider the vector v=(1,3,0,4). Find u such that a u has the same direction as v and one-half of its length. b u has the direction opposite that of v and twice its length.
Let v1, v2, and v3 be three linearly independent vectors in a vector space V. Is the set {v12v2,2v23v3,3v3v1} linearly dependent or linearly independent? Explain.
Take this test to review the material in Chapters 4 and 5. After you are finished, check your work against the answers in the back of the book. a Explain what it means to say that a set of vectors is linearly independent. b Determine whether the set S is linearly dependent or independent. S={(1,0,1,0),(0,3,0,1),(1,1,2,2),(3,4,1,2)}
Let u=<3,-5,1> and v=<-2,0,9>. Give two vectors that are perpendicular to both u and v.
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3. Determine whether the vectors u and v are orthogonal, parallel or neither. (show/explain your answers) a) u=(2,-3,1) b) u=j+6k v = (-1,-1,-1)|| v=i-2j-k
Determine by inspection the linearly independent vectors O a. O b. O c. -8 12 -4 2 -3 5][2] Ú'Ì 8) 4 6 -3 9

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Let u = (2, −3, 4) and v = (-1, 0, 5) be two vectors in R³. 1) Find 4u + v. 2) Find u- v, ||ul|, |v|| and the angle 0 (0 ≤0 ≤) between u and v 3) Is u orthogonal to v? Is u parallel to v? 4) Find ||uv||, ||u+v||, and (u+v). (u-v).