Vector A rightarrow has a negative x component 2.58 units in length and a positi

Question

Vector A rightarrow has a negative x component 2.58 units in length and a positive y component 1.64 units in length. Determine an expression for A rightarrow in unit-vector notation. (cap i + cap j) units Determine the magnitude and direction of A rightarrow. magnitude unit(s) direction degree counterclockwise from the positive x axis What vector B rightarrow when added to vector A rightarrow, gives a resultant vector with no x component and a negative y component 4.72 units in length? (i + j) units

Explanation / Answer

a)

A = -2.58 i +1.64 j <------- In vector notation

b)

magnitude = sqrt(2.58^2 + 1.64^2) = 3.06 N

direction = 180 - atan(1.64/2.58) = 147.6 deg

c)

A + B = -4.72 j

So, B = -4.72 j - A

= -4.72 j - (-2.58 i + 1.64 j)

= 2.58 i - 6.36 j <-----answer

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