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Question

Do the indicated calculation for the vectors u = ⟨7, -3⟩ and v = ⟨-3, 8⟩.

|4 u | - | v | = ___

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Answer 1 · 2017-11-27T18:57:27

See below.

#u=((7),(-3))=>4u=((28),(-12))#

#v=((-3),(8))#

Magnitude of a vector #((x),(y))=sqrt((x^2+y^2)#

#:.#

#||4u||-||v||=sqrt((28)^2+(-12)^2)-sqrt((-3)^2+(8)^2)#

#||4u||-||v||=sqrt(928)-sqrt(73)=4sqrt(58)-sqrt(73)~~21.99# ( 2 .d.p.)