The discussion centers on solving a vector problem involving two vectors A and B, both with magnitudes of 57. The sum of these vectors results in the vector 16.3j, leading to the calculation of the angle between them. The correct approach utilizes the cosine function, yielding cosθ = 0.143, which results in an angle θ of 81.8º. Consequently, the angle between the two vectors is determined to be 163.6º, emphasizing the importance of accurately interpreting vector components and the necessity of diagramming for clarity.
PREREQUISITESStudents studying physics or mathematics, particularly those focusing on vector analysis and trigonometry, as well as educators seeking to clarify concepts related to vector addition and angle determination.
So draw the diagram, in 2 dimensions. Since the vectors are of equal length, and their x components cancel, the second vector must be a reflection of the first in the y axis.madinsane said:Vectors A and B have equal magnitudes of 57. If the sum of A and B is the vector 16.3j , determine the angle?
Working without a sketch of what you are dealing with is a dangerous thing! If you refer to your diagram, you will see that y=rsinθ only if θ is the other acute angle in the triangle. So rsinθ will find you the complementary angle of what you are needing here.as far as I know y=rsinθ
Thank you! you were right! I got it nowNascentOxygen said:So draw the diagram, in 2 dimensions. Since the vectors are of equal length, and their x components cancel, the second vector must be a reflection of the first in the y axis.
Working without a sketch of what you are dealing with is a dangerous thing! If you refer to your diagram, you will see that y=rsinθ only if θ is the other acute angle in the triangle. So rsinθ will find you the complementary angle of what you are needing here.
It all becomes clear when you draw a diagram.