Question

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Answer 1

The resultant magnitude and direction of the vectors are as follows:

• A. A = 6.6; θ = 30.8° from the x-axis
• B. B = 10.4; θ = 196.7° from the x-axis
• C. C = 23.3; θ = 300° from the x-axis
• D. D = 40.4; θ = 138° from the x-axis
• E. E = 49.5; θ = 346° from the x-axis

What is the resultant magnitude and direction of the given vectors?

The resultant magnitude and direction of the vectors are as follows:

A. A = √(5.7² + 3.4²)

A = 6.6

θ = tan⁻¹(3.4/5.7)

θ = 30.8° from the x-axis

B. B = √{(-10)² + (-3²)}

B 10.4

θ = tan⁻¹(3/10) + 180

θ = 16.7° + 180°

θ = 196.7° from the x-axis

C. C = √{(12)² + (-20²)}

C = 23.3

θ = 360° - tan⁻¹(20/12)

θ = 300° from the x-axis

D. D = √{(-30)² + (27²)}

D = 40.4

θ = 180 - tan⁻¹(27/30)

θ = 138° from the x-axis

E. E = √{(48)² + (12²)}

E = 49.5

θ = 360° - tan⁻¹(12/48)

θ = 346° from the x-axis

In conclusion, the resultant of the vectors and direction are obtained using the resultant vector formula.

Learn more about resultant of vectors at: brainly.com/question/12534255

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