Given:
The magnitude of vector B is B=5.6
The angle made by the vector B is θ_B=33°
The magnitude of the vector C is C=4.8
The angle made by the vector C is θ_C=22°
To find:
The angle made by the new vector with the x-axis.
Step-by-step explanation:
When a vector is multiplied by a scalar, only the magnitude changes. The direction of the vector remains the same.
Thus when the vector B is multiplied by -1.5, the magnitude of the new vector is different from the magnitude of the vector B. But the direction of the new vector will be the same as the vector B.
Final answer:
Thus the angle made by the new vector with the x-axis is 33°.
Therefore the correct answer is option C.