Question

7.
Add the following vectors. What is the resultant?
(3,5)
(-2,4)
9.1 u at 83.7°
5.8 u at 59.0°
4.5 u at 63.4°
10.3 u at 60.9°

Answer 1

The resultant of the two vectors is determined as 9.1 units at 83.7⁰.

Resultant of the vectors

The resultant of the vectors is calculated as follow;

Sum of vectors in x-direction = (3 - 2)x = x

Sum of vectors in y-direction = (5 + 4)y = 9y

Resultant vector = √(1² + 9²) = 9.1 units

Direction of the vectors = tan⁻¹(y/x) = tan⁻¹(9/1) =  tan⁻¹(9) = 83.7⁰

Thus, the resultant of the two vectors is determined as 9.1 units at 83.7⁰.

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