Given two vectors a = 3.2i - 3.4j and b = 6.6i + 8.6j what is the magnitude (in

Question

Given two vectors a = 3.2i - 3.4j and b = 6.6i + 8.6j what is the magnitude (in m) of the vector a? _________ Find the direction (in degree = deg) of the vector a. ________ Find the magnitude of the vector b. _______ Find the direction (in degree) of the vector b. _______ Find the magnitude of the vector a + b. ________ Find the direction of the vector a + b. __________ Find the magnitude of the vector b - a. _________ Find the direction of the vector b - a. ___________ Find the magnitude of the vector a - b. ____________ Find the direction of the vector a - b. __________

Explanation / Answer

a)

|a|=sqrt(3.22+(-3.4)2)=4.67 m

b)

o=tan-1(-3.4/3.2)=-46.740

c)

|b|=sqrt(6.62+8.62)=10.84 m

d)

o=tan-1(8.6/6.6)=52.50

e)

|a+b|=sqrt[(3.2+6.6)2+(-3.4+8.6)2]=11.1 m

f)

o=tan-1(-3.4+8.6/3.2+6.6)=27.95o

g)

|b-a|=[(6.6-3.2)2+(8.6+3.4)2]=12.47 m

h)

o=tan-1(8.6+3.4/6.6-3.2)=74.180

i)

|a-b|=sqrt[(3.2-6.6)2+(-3.4-8.6)2]=12.47 m

j)

o=tan-1(-3.4-8.6/3.2-6.6)=74.18o

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