diketahui vektor a=i-2j+3k , b= -5j+4j-k dan c= 4i-j+k. jika d = a-2b+3c maka tentukan d

V a = i - 2j + 3k
V b = -5i + 4j - k
V c = 4i - j + k

d = a - 2b + 3c
*-2b = (-5i + 4j - k)
b = -2(-5i + 4j - k)
b = 10i - 8j + 2k

*3c = 4i - j + k
c = 3(4i - j + k)
c = 12i - 3j + 3k

d = (i-2j+3k) + (10i-8j+2k) + (12i - 3j + 3k)
= (1+10+12)i + (-2-8-3)j + (3+2+3)k
= (23)i + (-13)j + (8)k
= 23i -13j + 8k