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Consider the two vectors A vector = 5 i^- j^and B vector = i^- 2 j^. (a) Calcula

ID: 1655460 • Letter: C

Question

Consider the two vectors A vector = 5 i^- j^and B vector = i^- 2 j^. (a) Calculate A vector + B vector (b) Calculate A vector - B vector (c) Calculate |A vector + B vector| (d) Calculate |A vector - B vector| (e) Calculate the directions of A vector + B vector and A vector - B vector. A vector + B vector Note that tan (theta + 180 degree) = tan theta so the inverse tangent should give must draw a careful picture of this vector to check your calculator A vector - B vector Note that tan (theta + 180 degree) = tan theta so the inverse tangent should must draw a careful picture bf this vector to check your calculator

Explanation / Answer

e) for the direction of A + B

A+ B = 4 i - 3 j

as it lies in the forth quadrant

direction of A + B = 360 - arctan(3/4)

direction of A + B = 323.13 degree

A - B = 6 i + j

as this lies in the first quadrant

direction of A - B = arctan(1/6)

direction of A - B = 9.46 degree