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Vector Addition Problems Definition of a Vector- DV-1 When an arrow is drawn to represent a force, the length of the arrow represents (is proportional to) the a) acceleration b) direction of the force c) mass d) strength of the force e) speed DV-2 When an arrow is drawn to represent a velocity, the length of the arrow represents (is proportional to) the a) acceleration b) direction of the velocity c) mass d) strength of the force e) speed DV-3 Given the vector V shown to the right, sketch and label the vectors a) V b) 3V c)-V/3 Vector Addition - VA-1 For each of the following parts, draw the given vectors on your paper and then redraw them with the same length and direction (in the correct postions) to find the vector sum. Identify each vector with its letter and identify the sum as R. Be sure to show the direction of R with an arrowhead. a) Given A and B, find R=A+B c) Given E, F, and G, find R=E+F+G b) Given C and D, find R=C+D B VA-2 A football player has 3 forces exerted on him by 3 other players as shown to the right. Draw this figure on your paper and show figure to find the net force (vector sum) of these 3 forces. Be sure to show the direction of R with an arrowhead. VA-3 Two perpendicular forces of 6N (6 newtons) and 8N are applied to the box shown to the right. a) Draw this figure on your paper and then show the figure to find the net force (vector sum) of these two forces. b) Your resultant force should be the hypotenuse of a right triangle. Use properties of this triangle to calculate the magnitude of the resultant force in newtons. VA-4 A pilot has his plane pointed due north with an air speed of 100km/hr. At the same time there is a wind of 75km/hr toward the east. The compass directions are shown to the right. a) Draw the figure to show the velocity of the plane with respect to the ground, this is the vector sum of the two given velocities. b) Your resultant velocity should be the hypotenuse of a right triangle. Use properties of this triangle to calculate the speed of the plane with respect to the ground. F₁ 8N W 6N F N₂₁ is E F3 E