Find the sum of two vectors if one has a direction of 60 degree and a magnitude of 5 and the other has a direction of 240 and a magnitude of 2?
1
Expert's answer
2021-08-04T11:17:45-0400
First we resolve each vector into its components, we do this by computing (acosθ0,bsinθ0) for the vector a, b. Therefore we have that (5cos600,5sin600)=(25,253)(2cos2400,2sin2400)=(−1,−3)Next,we add both vectors using component-wise addition, which yields(23,233)To get the magnitude and direction of the vectors, we compute 232+(233)2=3The direction of the vector is given bytanθ=23233=3⟹θ=tan−13⟹θ=600Therefore the vector has a magnitude of 3 in direction of 600
Comments
Leave a comment