Given: u = <7, -3> and v = <-9, 5>
To calculate: 4 u - 3 v
Now, we shall express the given value of u and v in vector form
u = 7 i - 3 j and v = - 9 i + 5 j
So, 4 u - 3 v = 4 (7 i - 3 j ) - 3 (- 9 i + 5 j )
or, 4 u - 3 v = (28 i - 12 j ) - (- 27 i + 15 j )
or, 4 u - 3 v = (55 i - 27 j )
or, 4 u - 3 v = < 55 , - 27 >
Hence, the required value of 4 u - 3 v will be < 55 , - 27 >
