Problem: a) Write the vector  A  in the figure (Figure 1) in terms of the unit vectors  î  and  ĵ.b) Write the vector  B  in the figure in terms of the unit vectors  î  and  ĵ.c) Use unit vectors to express the vector  C , where  C  = 3.00A −4.00B  .d) Find the magnitude of  C .e) Find the direction of  C .

FREE Expert Solution

Vector components:

Ax=|A| cos θAy=|A| sin θ

Magnitude:

|A|=Ax2+Ay2

Direction:

tanθ=AyAx

a)

Ax = (3.60) cos 70° = 1.23m

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Problem Details

a) Write the vector  A  in the figure (Figure 1) in terms of the unit vectors    and  .

b) Write the vector  B  in the figure in terms of the unit vectors    and  .

c) Use unit vectors to express the vector  C , where  C  = 3.00A −4.00B  .

d) Find the magnitude of  C .

e) Find the direction of  C .

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