Vektor (3) Proyeksi Vektor

Multiple Choice

Diketahui $$\overrightarrow{a}=-3\overrightarrow{i}+3\overrightarrow{j}+5\overrightarrow{k}$$   dan $$\overrightarrow{b}=-5\overrightarrow{i}+5\overrightarrow{j}$$ . Langkah awal menentukan proyeksi skalar ortogonal  $$\overrightarrow{a}$$  pada $$\overrightarrow{b}$$  adalah ....

• $$\frac{-3\left(-5\right)+3\left(5\right)+5\left(0\right)}{\sqrt{\left(-5\right)^2+5^2+0^2}}$$  

• $$\frac{-3\left(-5\right)+3\left(5\right)+5\left(0\right)}{\sqrt{\left(-3\right)^2+3^2+5^2}}$$  

• $$\frac{-3\left(-5\right)+3\left(5\right)+5\left(0\right)}{\left(-5\right)^2+5^2+0^2}\cdot\left(-5\overrightarrow{i}+5\overrightarrow{j}\right)$$  

• $$\frac{-3\left(-5\right)+3\left(5\right)+5\left(0\right)}{\left(-3\right)^2+3^2+5^2}\cdot\left(-3\overrightarrow{i}+3\overrightarrow{j}+5\overrightarrow{k}\right)$$  

Multiple Choice

Diketahui $$\overrightarrow{a}=-3\overrightarrow{i}+3\overrightarrow{j}+5\overrightarrow{k}$$   dan $$\overrightarrow{b}=-5\overrightarrow{i}+5\overrightarrow{j}$$ . Langkah awal menentukan proyeksi vektor ortogonal  $$\overrightarrow{b}$$  pada $$\overrightarrow{a}$$  adalah ....

• $$\frac{-3\left(-5\right)+3\left(5\right)+5\left(0\right)}{\sqrt{\left(-5\right)^2+5^2+0^2}}$$  

• $$\frac{-3\left(-5\right)+3\left(5\right)+5\left(0\right)}{\sqrt{\left(-3\right)^2+3^2+5^2}}$$  

• $$\frac{-3\left(-5\right)+3\left(5\right)+5\left(0\right)}{\left(-5\right)^2+5^2+0^2}\cdot\left(-5\overrightarrow{i}+5\overrightarrow{j}\right)$$  

• $$\frac{-3\left(-5\right)+3\left(5\right)+5\left(0\right)}{\left(-3\right)^2+3^2+5^2}\cdot\left(-3\overrightarrow{i}+3\overrightarrow{j}+5\overrightarrow{k}\right)$$  

Multiple Choice

Diketahui $$\overrightarrow{a}=-3\overrightarrow{i}+3\overrightarrow{j}+5\overrightarrow{k}$$    dan $$\overrightarrow{b}=-5\overrightarrow{i}+5\overrightarrow{j}$$ . Langkah awal menentukan proyeksi vektor ortogonal  $$\overrightarrow{b}$$  pada $$\overrightarrow{a}$$  adalah ....

•   $$\frac{30}{43}\cdot\left(-3\overrightarrow{i}+3\overrightarrow{j}+5\overrightarrow{k}\right)$$  

•   $$\frac{29}{42}\cdot\left(-3\overrightarrow{i}+3\overrightarrow{j}+5\overrightarrow{k}\right)$$  

• $$\frac{28}{41}\cdot\left(-3\overrightarrow{i}+3\overrightarrow{j}+5\overrightarrow{k}\right)$$