Answer:
[tex]5u - 4v = 51i + 3j [/tex]
Step-by-step explanation:
The given vectors are u=7i + 3j and v=-4i + 3j, find 5u-4v in terms of unit vectors i and j.
We substitute the vectors to get:
[tex]5u - 4v = 5(7i + 3j) - 4( - 4i + 3j)[/tex]
We perform the scalar multiplication to get:
[tex]5u - 4v = 35i + 15j + 16i - 12j[/tex]
Group the components;
[tex]5u - 4v = 35i + 16i + 15j- 12j[/tex]
We simplify to get:
[tex]5u - 4v = 51i + 3j[/tex]
