Answer:
[tex]0.80i +0.2j[/tex]
Step-by-step explanation:
The projection of u on v is expressed as;
[tex]proj_{v} u = \dfrac{u*v}{|v|^2} * v[/tex]
Given
u=1.6i+3.3j
v=-2.1i-.5j
u*v = (1.6i+3.3j )*(-2.1i-0.5j )
u*v = 1.6i(-2.1i) + 3.3j(-0.5j)
u*v = -3.36 - 1.65
u*v = -5.01
|v|² = (√(-2.1)²+(-0.5)²)²
|v|² = (-2.1)²+(-0.5)²
|v|² = 4.41+0.25
|v|² = 4.66
Substitute into the formula;
[tex]= \frac{1.71}{-5.01} * (-2.1i - 0.5j)\\= -0.3413 (-2.1i - 0.5j)\\= 0.8i + 0.17j\\= 0.80i +0.2j[/tex]
