Consider the two vectors A^rightarrow = i - 3j and B^rightarrow = -i - 2j. Calcu

Question

Consider the two vectors A^rightarrow = i - 3j and B^rightarrow = -i - 2j. Calculate A^rightarrow + B^rightarrow When adding vectors that are given in component form, simply add the x components and then add the y components. i + Calculate A^rightarrow - B^rightarrow i + j Calculate |A^rightarrow + B^rightarrow| Calculate |A^rightarrow - B^rightarrow| Calculate the directions of A^rightarrow + B^rightarrow and A^rightarrow - B^rightarrow. A^rightarrow + B^rightarrow degree (counterclockwise from the +x axis) A^rightarrow - B^rightarrow degree (counterclockwise from the +x axis)

Explanation / Answer

A = i - 3j

B = -i - 2j

a) A + B = (i - 3j) + (-i - 2j)

= -5j

b) A - B = ( i - 3j ) - (-i - 2j) = 2i - j

c) 5

d) sqrt(2^2 + 1) = sqrt(5)

e) 270 o counterclockwise from the x-axis

270 + tan^-1( 1/ 2) = 296.56o counterclockwise from the x-axis

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