Explanation:
To find the direction of the resultant vector, we can use the formula:
θ = tan⁻¹(y/x)
where θ is the angle between the vector and the x-axis, y is the vertical component of the vector, and x is the horizontal component of the vector.
First, we need to find the sum of the two vectors:
(11, 11) + (9, -4) = (20, 7)
Now we can plug in the values for x and y:
θ = tan⁻¹(7/20)
Using a calculator, we get:
θ ≈ 19.44° W of V
Therefore, the direction of the resultant vector is approximately 19.44° W of V.