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u = -3i + 3j + 5k
v = -5i + 5j => |v| = √(5^2 + 5^2) = √(25 + 25) = √50
Proyeksi vektor ortogonal u pada v
= {(u . v)/|v|^2} v
= {(-3(-5) + 3(5) + 5(0)) / √50^2 } v
= {(15 + 15 + 0)/50} v
= {30/50} v
= (3/5) (-5i + 5j)
= -3i + 3j