Answer:
A.6.2i-4.2 j
Step-by-step explanation:
We are given that
[tex]u=9i-6j[/tex]
[tex]v=-3i-2j[/tex]
[tex]w=19i+15j[/tex]
We have to find the projection of w on to u.
The project of vector a on b
=[tex]\frac{a\cdot b}{\mid b\mid^2}b[/tex]
[tex]w.u=(19i+15j)\cdot (9i-6j)=171-90=81[/tex]
[tex]\mid u\mid=\sqrt{x^2+y^2}=\sqrt{9^2+(-6)^2}=\sqrt{117}[/tex]
Using the formula
The projection of w on to u
[tex]=\frac{u\cdot w}{\mid u\mid^2}(u)=\frac{81}{117}(9i-6j)[/tex]
The projection of w on to u=6.2i-4.2j
Hence, option A is true.
