How do you give the complex number form of the vector with the given initial and terminal point respectively (4,7) and (-3, 1)?

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Answer 1 · 2017-12-13T09:34:53

The answer is #=-7-6i#

Let the point #A=(4,7)# and the point #B=(-3,1)#

Therefore,

#z_A=4+7i#

#z_B=-3+i#

Where, #i^2=-1#

Then,

#vec(AB)=z_B-z_A=(-3+i)-(4+7i)=-3+1-4-7i#

#=-7-6i#