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Produt Scalaire dans le Plan: Determining Cosines and Angles of Vectors, Exercises of Mathematics

A series of exercises on the dot product (produit scalaire) in a plane, focusing on determining the cosines and angles of vectors. It includes various examples of vectors and their dot products, and asks the reader to determine if the dot product is positive, negative, or zero. The document also provides the solutions to the exercises.

Typology: Exercises

2023/2024

Uploaded on 01/21/2024

south-kiou
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Download Produt Scalaire dans le Plan: Determining Cosines and Angles of Vectors and more Exercises Mathematics in PDF only on Docsity! www.mathsenligne.com PRODUIT SCALAIRE DANS LE PLAN EXERCICES 2B EXERCICE 2B.1 Déterminer le cosinus de  ,u v puis l’angle  ,u v (ou une approximation, si c’est possible) : 4u  8v  . 32u v    cos ,u v    ,u v  2u  2 2v  . 2 3u v    cos ,u v    ,u v  2u  3v  . 6u v     cos ,u v    ,u v  1u  6v  . 3u v     cos ,u v    ,u v  3u  7v  . 14u v    cos ,u v    ,u v 6u  1v  . 7u v    cos ,u v    ,u v  2u  3v  . 3u v     cos ,u v    ,u v  3 2u  2v  . 6u v     cos ,u v    ,u v  EXERCICE 2B.2 Dans chaque cas, indiquer si le produit scalaire .u v est positif  0 , négatif  0 ou nul  0 .  u  v  u .  v ………  u  v  u .  v ………  u  v  u .  v ………  u  v  u .  v ………  u  v  u .  v ………  u  v  u .  v ………  u  v  u .  v ………  u  v  u .  v ………
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