Vector Analysis - Mercer University Physics

4 Vector AnalysisC: Vector Exercise IIIGraph: On Graph Sheet C draw the two vectors ⃗ A and ⃗ B using the followingdata: (θ A = 135 ◦ , A = 5 cm) and (B x = +1.0 cm, B y =−8 cm). Add these vectors graphically for the vector sum of ⃗ C =⃗A + ⃗ B, using the tip-to-tail method. Measure the length C and directionθ C of vector ⃗ C.C = , θ C = .Next, draw the x and y components of C: ⃗ (C x , C y ).length of each component.Measure theC x = , C y = .Calculate: Add the x and y components of ⃗ A and ⃗ B for alternate valuesof the x and y components of ⃗ C:C ′ x = A x + B x = .C ′ y = A y + B y = .From these values, calculate alternate values for the length C ′ anddirection θ ′ C of ⃗ C.C ′ = , θ ′ C = .Compare: Are the two sets of values for the vector C ⃗ equal? I.e., is ittrue that C = C ′ , θ C = θ C, ′ C x = C x, ′ and C y = C y ′ ? If not,what are possible reasons why they are not exactly the same?