B) Consider having two vectors, one with a length of 2 m and another with a leng
ID: 1275005 • Letter: B
Question
B) Consider having two vectors, one with a length of 2 m and another with a length of 7 m. If I add them together, what is the smallest length I can get? ___ m
C) The components of a vector V can be written as ( Vx, Vy, Vz). What is the length of a vector which is the sum of the two vectors V1 with components (5.0, -4.8, -3.3)and V2 with components (7.8, -5.1, 0.0)?
D) Vector V1 is 7.5 units long and points along the negative x axis. Vector V2 is 5 units long and points at 48 degrees to the positive x axis. Determine the magnitude of the resultant vector.
E) You are given a vector in the xy plane that has a magnitude of 50 units and a y component of -30 units. What are the possibilities of the x component?
F) An airplane is traveling 800 km/hr in a direction of 50 degrees West of North. The components of velocity vector in the Northern direction is {800*sin50}km/hr; and the velocity vector in the Western direction is {800*cos50} km/hr.
6m 5m 3m -2mExplanation / Answer
A. 8.9443m
B. 5m
C. 16.515
D. 5.5736m
E. +40m; -40m
F The components of velocity vector in the Northern direction is {800*cos50}km/hr; and the velocity vector in the Western direction is {800*sin50} km/hr.
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