Answer:
The sum of the vectors is <8 , 6>
The magnitude of the resultant vector is 10
The direction of the resultant vector is 37°
The answer is the 1st answer: <8 , 6> ; 10 ; 37°
Step-by-step explanation:
* Lets explain how to solve the problem
∵ The first vector is <7 , -2>
∵ The second vector is <1 , 8>
∴ The sum of the 2 vectors = <7 , -2> + <1 , 8>
∴ Their sum = <7 + 1 , -2 + 8> = <8 , 6>
* The sum of the vectors is <8 , 6>
- The magnitude of the resultant vector = √(x² + y²)
∵ x = 8 and y = 6
∴ The magnitude of the resultant vector = √(8² + ²)
∴ The magnitude of the resultant vector = √(36 + 64) = √100 = 10
* The magnitude of the resultant vector is 10
- The direction of the vector = tan^-1 (y/x)
∵ x = 8 and y = 6
∴ The direction of the vector = tan^-1 (6/8) = 36.869 ≅ 37°
* The direction of the resultant vector is 37°
