Final answer:
The direction of the resultant vector when adding the given vectors is North 63° West.
Step-by-step explanation:
To find the direction of the resultant vector when adding the given vectors, we can use the head-to-tail method.
First, we add the x-components of the vectors: -4 + 1 = -3.
Next, we add the y-components of the vectors: 3 + 3 = 6.
Thus, the resultant vector is <-3, 6>. To find the direction, we can use trigonometry. The angle, θ, can be found using the formula θ = tan-1(y/x), where x is the horizontal component and y is the vertical component of the vector. Substituting the values, θ = tan-1(6/(-3)) = -63°. However, since the angle is measured counterclockwise from the positive x-axis, we can say that the direction of the resultant vector is North 63° West. Therefore, the correct answer is B) North 63° West.