Answer:
The angle the new vector makes with the x-axis is 33°
Step-by-step explanation:
By multiplying a vector with a scalar, we multiply the similar components of the two quantities which is the magnitude of the scalar quantity and the magnitude of the vector with the new vector formed will have a magnitude equal to the product of the two magnitudes and the same direction of the original vector as follows;
The magnitude of the vector B = 5.6
The magnitude of the scalar = 92
The product of the two magnitudes = 5.6 × 92 = 515.2
The magnitude of the new vector = 515.2
The direction of the new vector = 33° South of West
Therefore, the angle the new vector makes with the x-axis = 33°.