5. Determine la magnitud de los vectores dados
a) u= (-1,6)
b) v= (2,-1,3)
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Mathematics, 01.10.2021 07:50 montimcdaniel
5. Determine la magnitud de los vectores dados
a) u= (-1,6)
b) v= (2,-1,3)
c) P= (3,-1,2) and Q= (1,-3,5)
d) P= (0,4,-1) and Q= (3,2,3)
6. Dados u = (1, 2), v = (−3, 4), w = (−1, 3, 4) y s = (3.2, 1) calcule
a) 2u-3v
b) -5w+7s
c) El producto punto de u y v
d) El producto punto de s y w
7. Determine el ángulo entre los vectores dados.
a) u = (1, −2) and v = (3, 5)
b) u = (2, 3, −1) and v = (−5, 2, 2)
c) u = (4, 2) and v = (−1, −3)
d) u = (1, 0, −7) and v = (1, 1, 0)
8. Determine si los vectores a continuación son ortogonales, paralelos o ninguno.
a) u = (5, 0) and v = (0, 5)
b) u = (2, −1, 3) and v = (6, −3, 9)
c) u = (2, 4) and v = (−3, 6)
9. Encuentre el producto cruz de los siguientes vectores
a) u = 4i + 5j − 5k; v = 4i + 3j − 7k
b) u = 10i + 7j − 3k; v = −3i + 4j − 3k
c) u = 5i + 6k; v = i − 2j + k
10. Determine el área del paralelogramo con vértices
a) (1, −2, 3), (−3, 1, 4) y (0, 4, 3).
b) (−2, 1, 0), (1, 4, 2) y (−3, 1, 5).
c) (−8, 0, 10, ), (−4, 1, 6) y (5, −2, 3).
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