Answer:
The resultant of the vector is 6.63 km
Explanation:
Given;
vector A = 2.3 km 45°
vector B = 4.8 km 90°
The vectors in the x - direction is given by;
Aₓ = 2.3 km Cos 45° = 1.6263 km
Bₓ = 4.8 km Cos 90° = 0
The sum of the vectors in x -direction is given by;
∑X = 1.6263 km + 0 = 1.6263 km
The vectors in the y - direction is given by;
Ay = 2.3 km Sin 45 = 1.6263 km
By = 4.8 km Sin 90° = 4.8 km
The sum of the vectors in y -direction is given by;
∑Y = 1.6263 km + 4.8 km = 6.4263 km
The resultant vector is given by;
R = √(X² + Y²)
R = √[(1.6263)² + (6.4263)²]
R = 6.63 km
Therefore, the resultant of the vector is 6.63 km
