Tugas Matematika Teknik [Tahap 2]
1. Tentukanlah apakah u dan v membentuk sudut lancip, tumpul atau ortogonal
(a) u=(7,3,5) v=(-8,4,2)
(b) u=(1,1,1) v=(-1,0,0)
(c) u=(6,1,3) v=(4,0,6)
(d) u=(4,1,6) v=(-3,0,2)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjzSKixWVNMUjVogPECVrr6CUKk0nwnb8Ipf1q3-tS6I4Tt88vhGskbpIrptjQXVQhBAJgkXAu77YIclC8kjEZFGgPwAMRlfjtysB-ZPjtHS2I-tFXoPXjSQ30uTna0AJhnzRcbvtpzUQ/s400/mat+21.jpg)
2. Carilah komponen vektor u yang ortogonal ke a jika :
(a) u=(-7,1,3) a =(5,0,1)
(b) u=(0,0,1) a =(8,3,4)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiEhxV8CnB1yB4NDhsac2LDyNZRQW3aUTOafEtiNB98_hu1IwhfAVHDtYTqLbkNqUlYplQnaFVosg1R9e9vj11HVD261bwebpwQ4k3oGlGayvJcb4kojRnY6qoiH6TPHOuRnwFqHo8GXQ/s400/mat+22.jpg)
3. Carilah sudut diantara diagonal kubus dan salah satu sisinya
Misalkan panjang rusuk kubusnya = a
(a) u=(7,3,5) v=(-8,4,2)
(b) u=(1,1,1) v=(-1,0,0)
(c) u=(6,1,3) v=(4,0,6)
(d) u=(4,1,6) v=(-3,0,2)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjzSKixWVNMUjVogPECVrr6CUKk0nwnb8Ipf1q3-tS6I4Tt88vhGskbpIrptjQXVQhBAJgkXAu77YIclC8kjEZFGgPwAMRlfjtysB-ZPjtHS2I-tFXoPXjSQ30uTna0AJhnzRcbvtpzUQ/s400/mat+21.jpg)
2. Carilah komponen vektor u yang ortogonal ke a jika :
(a) u=(-7,1,3) a =(5,0,1)
(b) u=(0,0,1) a =(8,3,4)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiEhxV8CnB1yB4NDhsac2LDyNZRQW3aUTOafEtiNB98_hu1IwhfAVHDtYTqLbkNqUlYplQnaFVosg1R9e9vj11HVD261bwebpwQ4k3oGlGayvJcb4kojRnY6qoiH6TPHOuRnwFqHo8GXQ/s400/mat+22.jpg)
3. Carilah sudut diantara diagonal kubus dan salah satu sisinya
Misalkan panjang rusuk kubusnya = a
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgwXa8k1m_Up_1G-hSorLIWTlqxdUsqJyy5fYg3h22xqwDzBR-jaHKrllM3I-lGQ9GV3WqC-C4FDY6fLDVesoJ9Xpl35nosbbTtW3o_OhGRhIa5SC0jHfI1pexV51WX_3iScgHa29VM7g/s400/mat+23.jpg)