Vector A has a negative x component 3.05 units in length and a positive y component 1.95 units in length.(a) Determine an expression for A in unit-vector notation.(b) Determine the magnitude and direction of A.(c) What vector B, when added to vector A, gives a resultant vector with no x component and a negative y component 3.63 units in length?Step 1The component description determines the unit-vector expression for vector A. Its magnitude and direction are determined from its components. The vector B will bedetermined from the description of the resultant vector R along with the known components of A.Step 3(a) We are given AxA = AStep 2Determine the unit-vector notation for A using its given components. We know the components of the resulting vector R=A + B, and from this we can determine the vector BAAxî + A,ĵ = (-3.05= -3.05==€-3.050Step 4(b) The magnitude of A is given by the following equation.2A₂²2² + Ay²XX1.95-3.05 unit(s) and Ay = 1.95-3.05 +1.953.05 unit(s))² + 1.95Co1.95 unit(s). We have the following expression for A in unit-vector notation.1.95 ĵ) unit(s)1.95 unit(s))² = 3.603.62 unit(s)Step 5We find the angle using the following equations.tan 0 Y =AvAxunit(s)unit(s)-3.06Enter a number.Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully.,tan ¹(-32.59Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully.) = = 147.41The response you submitted has the wrong sign.ºX

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Vector A has a negative x component 3.05 units in length and a positive y component 1.95 units in length. (a) Determine an expression for A in unit-vector notation. (b) Determine the magnitude and direction of A. (c) What vector B, when added to vector A, gives a resultant vector with no x component and a negative y component 3.63 units in length?

Vector A has a negative x component 3.05 units in length and a positive y component 1.95 units in length. (a) Determine an expression for A in unit-vector notation. (b) Determine the magnitude and direction of A. (c) What vector B, when added to vector A, gives a resultant vector with no x component and a negative y component 3.63 units in length?

Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Vectors

Section: Chapter Questions

Problem 21P: Vector A has a negative x component 3.00 units in length and a positive y component 2.00 units in...

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