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|.

Elementary Linear Algebra (MindTap Course List)
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Chapter5: Inner Product Spaces
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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|.

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.
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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