Advanced Math Archive: Questions from July 07, 2023
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Considera lo siguiente. f(x, y, z) = xe4yz, P(2, 0, 3), u = 1 3
, − 2 3 , 2 3 (a) Encuentre el gradiente de f. ∇f(x, y, z) =
(b) Evalúe el gradiente en el punto P. ∇f(2, 0, 3) = (c)
Encuentre l
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Encuentra la distancia euclidiana entre u y v y el coseno del
ángulo entre esos vectores. Indica si el ángulo es agudo, obtuso o
de 90 grados.
a) u=(1,2,-3,0) v=(5,1,2,-2)
b) u=(0,1,1,1,2) v=(2,1,0,
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Sea v 1 = (4,6,7)^ T ,
v 2 = (0,1,1)^ T , y v 3
= (0, 1, 2)^T , y sea u 1 = (1,1 ,1)^T , u2 =
(1,2,2)^T , u3 = (2,3,4)^T
(a) Encuentre la matriz de transición de {
v 1 , v 2 , v 3
} a
{ tu 1, tu 2,
t
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