Question

Jika vektor a = {1 4 9}, b = { 2 5 -3 }, c {3 1 -2} dan p = a-2b+3c, maka panjang vektor p adalah ??

Answer 1

Answer 2

A = (1 4 9)
b = (2 5 -3)
c = (3 1 -2)

2b = 2(2 5 - 3)
2b = (4 10 -6)

3c = 3(3 1 -2)
3c = (9 3 -6)

a - 2b + 3c = (1 4 9) - (4 10 -6) + (9 3 -6)
= (-3 -6 15) + (9 3 -6)
= (6 -3 9)

panjang vektor = √6² + 3² + 9²
= √36 + 9 + 81
= √126
= √9√14
= 3√14 satuan panjang