Graph the vectors u = -i + 4j, v = 2i + 2j starting at the point (0, 0). a. Calculate u-v, and represent it starting at the end point of v. It should form a triangle. b. Calculate the lengths of the sides of the triangle. c. Verify that the triangle inequality is satisfied: |v| + |u-v| ≥ |u| + |u|.
Graph the vectors u = -i + 4j, v = 2i + 2j starting at the point (0, 0). a. Calculate u-v, and represent it starting at the end point of v. It should form a triangle. b. Calculate the lengths of the sides of the triangle. c. Verify that the triangle inequality is satisfied: |v| + |u-v| ≥ |u| + |u|.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Graph the
a. Calculate u-v, and represent it starting at the end point of v. It should form a triangle.
b. Calculate the lengths of the sides of the triangle.
c. Verify that the triangle inequality is satisfied: |v| + |u-v| ≥ |u| + |u|.
Transcribed Image Text:Graficar a los vectores ū=−i +4j, v=2ỉ +2j empezando en el punto (0;0).
a. Calcular ū-v, y representarlo empezando en el punto final de v. Debería quedar
formado un triángulo.
b. Calcular las longitudes de los lados del triángulo.
c. Verificar que se cumple la desigualdad triangular: |v|+|ū―v≥ū.
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