The magnitude of the resultant vectors is 20.4 units and the direction of the vectors is 79⁰.
<h3>
Magnitude of the resultant vector</h3>
Sum of vectors in x direction, ∑X = 5 - 1 = 4
Sum of the vectors in y direction, ∑Y = 6 + 14 = 20
Resultant vector = √(∑X² + ∑Y²)
Resultant vector = √(4² + 20²) = 20.4 units
<h3>Direction of the vector</h3>
θ = arc tan (ΣY/ΣX)
θ = arc tan (20/4)
θ = arc tan (5)
θ = 78.7⁰
θ ≈ 79⁰
Thus, the magnitude of the resultant vectors is 20.4 units and the direction of the vectors is 79⁰.
Learn more about resultant vectors here: brainly.com/question/19802988
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