diketahui a=3i-2j+k dan b=j+4k maka tentukan nilai a. |a| = b. |a+b| c. a.b d. a-2b

Vektor
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Cara Mengerjakan :
a = 3i - 2j + k
b = j + 4k

a). |a| = √(3² + (-2)² + 1²)
-> |a| = √(9 + 4 + 1)
-> |a| = √14

b). a + b = (3i - 2j + k) + (j + k)
-> a + b = 3i - j + 2k

|a + b| = √(3² + (-1)² + 2²)
|a + b| = √(9 + 1 + 4)
|a + b| = √14

c). a.b = (3 , -2, 1) . (1 , 4)
-> a.b = 3i - 2j + 4k

d). a - 2b = (3i - 2j + k) + 2 (j + k)
--> a - 2b = 3i - 2j + k + 2j + 2k
--> a - 2b = 3i + 3k

Semoga bisa bermanfaat

HHNS