A bird flies 2.8 units due west and then 2.7 units due north. Another bird flies 2.7 units due west and 2.8 units due north. What is the angle between the net displacement vectors for the two birds?

Assume a 2D plane and both the birds start at origin. +X is east, -X is west, +Y is North, -Y is South. So, after travel position of bird1 is (-2.8, 2.7) and bird2 is (-2.7,2.8); slope of bird1 is 2.8/2.7 slope of bird2 is 2.7/2/8 Now we have two solpes b1 and b2 formula = (b2-b1)/(1+b1*b2);

Answered by vishalthephysicist | 2024-06-10

The angle between the net displacement vectors of the two birds is approximately 7.2°. This is calculated using the dot product of the displacement vectors to find the cosine of the angle. The displacement vectors were established from the birds' respective movements in a 2D plane.
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Answered by vishalthephysicist | 2024-12-24