Final Answer:
To find the sum of two vectors u = <-4, 7> and v = <11, -6> , add their corresponding components. The sum vector u + v is <7, 1>.
Step-by-step explanation:
To find the sum of two vectors u = <-4, 7> and v = <11, -6> , add their corresponding components. The sum vector u + v is given by:
u + v = <-4 + 11, 7 + (-6)>
= <7, 1>
So, u + v = <7, 1>.
This means that the resulting vector has a horizontal component of 7 and a vertical component of 1. In geometric terms, if you place the tail of vector v at the head of vector u, then the vector u + v represents the displacement from the tail of u to the head of v.