Answer:
Sum = <1,11>
Magnitude = 11.05
Direction = 84.81
Step-by-step explanation:
Given.
Let Vector A = <-5,2>
Vector B = <6,9>
Sum = A + B
Sum = <-5,2> + <6, 9>
Sum = <-5 + 6, 2 + 9>
Sum = <1,11>
where x = 1 and y = 11
Calculating the magnitude...
Magnitude = √(x² + y²)
Magnitude = √(1² + 11²)
Magnitude = √(1 + 121)
Magnitude = √122
Magnitude = 11.04536101718726
Magnitude = 11.05 --- Approximated
Calculating the vector direction
Direction of a vector is calculated by tan^-1 (y/x)
Direction = tan^-1(11/1)
= tan^-1(11)
= 84.80557109226519
= 84.81° ---- Approximated
