Problem 3.06 Part A What are the and y components of vector V12 Express your ans

Question

Problem 3.06 Part A What are the and y components of vector V12 Express your answers using two significant figures. Enter your answers numerically separated by a comma Vector Vi is 7.0 units long and points along the negative a axis. Vector V2 is 9.0 units long and points at 40 to the positive axis. 1r, 1y units Submit My Answers Give Up Part B What are the a and y components of vector V2 Express your answers using two significant figures. Enter your answers numerically separated by a comma units Submit My Answers Give Up

Explanation / Answer

V1 = - 7 i

V2 = 9 cos(40 degreees) i + 9 sin(40 degrees) j = 6.894 i + 5.785 j

Part A

x and y components of V1 = V1x , V1y   = - 7 , 0

Part B

x and y components of V2 = V2x , V2y = 6.894 , 5.785

Part C

V1 + V2 = - 7 i +  6.894 i + 5.785 j = - 0.106 i + 5.785 j

Magnitude of V1 + V2 = sqrt( 0.106^2 + 5.785^2) = 5.786

Part D

Angle of V1 + V2 = arctan(5.785/-0.106) = 91.05 0 counterclockwise from positive axis

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