A = 3i =2j, vector B has a magnitide of 10 and its directionis 30 degrees W of S

Question

A = 3i =2j, vector B has a magnitide of 10 and its directionis 30 degrees W of S. When an unknown vector C is added to the sumof A and B the resultant vector R (A+B+C) only has an x-componentand its lenght is 5. a) what is the magnitude and direction of C? b) draw roughtly to scale the four vectors A = 3i =2j, vector B has a magnitide of 10 and its directionis 30 degrees W of S. When an unknown vector C is added to the sumof A and B the resultant vector R (A+B+C) only has an x-componentand its lenght is 5. a) what is the magnitude and direction of C? b) draw roughtly to scale the four vectors

Explanation / Answer

30 degrees west of south implies it makes an angle of 30 degrees with nagative direction of Y axis and is 10(cos240i+sin240j)=5i+53j let C be xi+yj then we have A+B+C as 8+x)i+(53-2+y)j as x component is 0 x=-8 and Y component has to be 5 units hence y=7-53 draw to scale the 4 vectors taking appropriately positive X andpositive Y

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