Diketahhui vektor k,l, dan m vektor R^3 dengan vektor

a. (-4, 33, -6), b. (7, 1, -7), c. (15, -3, 21)

Pembahasan

Untuk menyelesaikan soal ini, kita perlu melakukan operasi vektor:

a. 3k + 2l
   3 * (2, 7, -4) + 2 * (-5, 6, 3)
   = (6, 21, -12) + (-10, 12, 6)
   = (6 - 10, 21 + 12, -12 + 6)
   = (-4, 33, -6)

b. k - l
   (2, 7, -4) - (-5, 6, 3)
   = (2 - (-5), 7 - 6, -4 - 3)
   = (2 + 5, 1, -7)
   = (7, 1, -7)

c. k + l + 2m
   (2, 7, -4) + (-5, 6, 3) + 2 * (9, -8, 11)
   = (2, 7, -4) + (-5, 6, 3) + (18, -16, 22)
   = (2 - 5 + 18, 7 + 6 - 16, -4 + 3 + 22)
   = (15, -3, 21)