Matematika

Pertanyaan

jika titik A(4,2,q) B(2,-1,1) dan titik C(8,p+2,-8)segaris, nilai p+q

1 Jawaban

  • Dik :
    A (4,2,q) , B (2,-2,1) dan C (8,p+2,-8) segaris
    Dit : nilai p + q ?
    AB = b - a
    | 2 | | 4 | | -2 |
    | -2 | _ | 2 | = | -4 |
    | 1 | | q | | 1-q |
    BC = c - b segaris..
    | 8 | | 2 | | 6 | | -2 |
    | p+2 | _ | -2 | = | p+4 | = -3 | p+4÷-3 | 
    | -8 | | 1 | | -9 | | 3 | 
    AB = BC
    | -2 | | -2 |
    | -4 | = | p+4÷-3 |
    | 1-q | | 3 |

    1-q = 3
    q = -2

    -4 = p+4÷ -3
    12 = p+4
    p = 12-4 = 8

    jadi, nilai p+q = 8+(-2) = 6

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