Tolong no 5 sama 6 ya pakai cara

5. Proyeksi vektor b pada vektor a
b . a / |a|² * a
b . a = (1, 3, 4) . (10, 11, -2)
= (1 . 10) + (3 . 11) + (4 . -2)
= 10 + 33 – 8
= 35
|a| = √10² + 11² + (-2)²
= √100 + 121 + 4
= √225
= 15
b . a / |a|² * a = 35 / 15² * (10, 11, -2)
= 35 / 225 * (10, 11, -2)
= 7/45 * (10, 11, -2)
= 7/45 (10i + 11 j -2k)

6. Proyeksi vektor b pada a
b . a = (2, 1, -2)*(3, -1, 1)
= (2 . 3) + (1 . -1) + (-2 . 1)
= 6-1-2
= 3
|a| = √3² + (-1)² + 1²
= √9+1+1
= √11
b . a / |a|² * a = 3 / √11 * (3, -1, 1)
= 3/√11 * √11/√11 * (3, -1, 1)
= 3√11/11 * (3, -1, 1)
= 3√11/11 (3i – j + k)