Question

Diketahui vektor
A = 5i + 4j
B = 2i + j
C = i - 5j
Resultan dan besar resultan vektor dari R= A-B+C adalah

Answer 1

A = 5 i + 4 j
B = 2 i + j
------------------ -
A-B = 3 i + 3 j
C = i - 5 j
------------------- +
A-B+C = 4 i - 2 j ← jwb

|A-B+C| = √(4² + (-2)²)
|A-B+C| = √(16 + 4)
|A-B+C| = √20 = 2√5 satuan

Answer 2

R = A - B + C
= (5i + 4j) - (2i + j) + (i - 5j)
= 5i - 2i + i + 4j - j - 5j
= 4i - 2j

besar R = √(4^2 + (-2)^2)
= √(16 + 4)
= √20
= √(4 × 5)
= 2 √5