How do you find the component form and magnitude of the vector v given initial point (-3,-5) and terminal point (5,1)?

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Answer 1 · 2017-12-09T07:05:06

The component form is #=8veci+6veci# and the magnitude is #=10#

Let the point #A=(-5,-5)# and the point #B=(5,1)#

Then the vector

#vecv=(B)-(A)=((5),(1))-((-3),(-5))=((8),(6)) = <8, 6> =8veci+6veci#

The magnitude of #vecv# is

#||vecv||=sqrt(8^2+6^2)=sqrt(64+36)=sqrt100=10#