Question

Sabendo que 2.u + 3.v = w determine os valores de a, b e c, sendo u = ( 2, -1, c ) v = ( a, b-2, 3 ) w = ( 13, 1, 15 )

Answer 1

Explicação passo-a-passo:

(13, 1, 15) = 2(2, -1, c) + 3(a, b-2, 3)

(13, 1, 15) = (4, -2, 2c) + (3a, 3b-6, 9)

(13, 1, 15) = (4+3a, -2+3b-6, 2c+9)

4+3a = 13

3a = 13-4

3a = 9

a = 9/3

a = 3

-2+3b-6 = 1&

-8+3b = 1

3b = 1+8

3b = 9

b = 9/3

b = 9

2c+9 = 15

2c = 15-9

2c = 6

c = 6/2

c = 3

2( 2, -1, 3) + 3( 3, 3-2, 3 ) = ( 13, 1, 15 )

(4, -2, 6) + (9, 3, 9) = (13, 1, 15)