Please help me with this homework from question 4 to the last one. Please and thanks. True False questions. Only need to answer T/F.Answer "F" if the statement is not always true.Here u, v, w represent arbitrary vectors.100%;u.u=1.(u + 2v) · v = u.v+2v • v2.3. If u. v> 0, the angle between u and vis acute,|u × v| = |u| |v| cos, where is the4.angle between the vectors:5. u x V = V x u,6. If u, vare unit vectors, so is u x v,(u xv). u = = 07.J8. |u + v| = |u| + |v|U12,U₁Suppose 9are vectors such that= 7k Findproj, u₁=5k proj, u₂=.proj、 (u₁ +2u₂) proj,3u₁ andproj3v U₂• Suppose v is a vector with certain physicaldimensions. For example, if v represents avelocity vector then its dimensions wouldbe length/time. How are the dimensions of|v| related to the dimensions of v? WhatVare the dimensions of v?●Suppose u,v,w are three different vectors.Does the expression u v w makesense? What about u x V x W?●

True False questions. Only need to answer T/F. Answer "F" if the statement is not always true. Here u, v, w represent arbitrary vectors. uu= 1. |u|; 2. (u + 2v) · v = u.v+2v.v " 3. If u. v> 0, the angle between u and v is acute, 4. |u × v| = |u| |v| cos, where is the angle between the vectors: 5. u x V = V x u, 6. If u, V are unit vectors, so is u × v, 7. (u xv). u= = 0. |u + v| = |u| + |v| " 8. V ● Suppose ¹1, U2, are vectors such that proj, u₁ = 5k proj, u₂ = 7k. Find I proj, (u₁ +2u₂) proj, 3u1 and proj3v¹₂. Suppose v is a vector with certain physical dimensions. For example, if v represents a velocity vector then its dimensions would be length/time. How are the dimensions of |v| related to the dimensions of v? What are the dimensions of 2 ? Suppose u,v,w are three different vectors. Does the expression u v w make sense? What about u × v × W?

True False questions. Only need to answer T/F. Answer "F" if the statement is not always true. Here u, v, w represent arbitrary vectors. uu= 1. |u|; 2. (u + 2v) · v = u.v+2v.v " 3. If u. v> 0, the angle between u and v is acute, 4. |u × v| = |u| |v| cos, where is the angle between the vectors: 5. u x V = V x u, 6. If u, V are unit vectors, so is u × v, 7. (u xv). u= = 0. |u + v| = |u| + |v| " 8. V ● Suppose ¹1, U2, are vectors such that proj, u₁ = 5k proj, u₂ = 7k. Find I proj, (u₁ +2u₂) proj, 3u1 and proj3v¹₂. Suppose v is a vector with certain physical dimensions. For example, if v represents a velocity vector then its dimensions would be length/time. How are the dimensions of |v| related to the dimensions of v? What are the dimensions of 2 ? Suppose u,v,w are three different vectors. Does the expression u v w make sense? What about u × v × W?

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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