Question Solved1 Answer Knowledge/Understanding (15 marks) 1. If i = [1,-3,-2) and i = [4,-5,3] find: a) 2u – 30 121 b) lū+1 -5j| c) Find Q, where P (-7,5,-1) and PO = 2ū [3] d) Find W which is orthogonal to both ū & [3]

QQ9ZU4 The Asker · Calculus

Transcribed Image Text: Knowledge/Understanding (15 marks) 1. If i = [1,-3,-2) and i = [4,-5,3] find: a) 2u – 30 121 b) lū+1 -5j| c) Find Q, where P (-7,5,-1) and PO = 2ū [3] d) Find W which is orthogonal to both ū & [3]
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Transcribed Image Text: Knowledge/Understanding (15 marks) 1. If i = [1,-3,-2) and i = [4,-5,3] find: a) 2u – 30 121 b) lū+1 -5j| c) Find Q, where P (-7,5,-1) and PO = 2ū [3] d) Find W which is orthogonal to both ū & [3]
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{:[ vec(u),=(:1","-3","-2:),2u=(:2","-6","-4:)],[ vec(v)=,(:4","-5","3:),3v=(:12","-15","9:)],[2u-3v,=(:2","-6","-4:)-(:12","-15","9:)],[2u-3v,=(:-10","-6-(-15:)","-4-9:)],[,=(:-10","9","-13:)]:}(b){:[(u+v)- hat(ȷ)=(u+v)-(:0","1","0:)=(:5","-8","1:)-(:0","1","0:)],[(u+v)- hat(ȷ)=(:5","-9","1:)]:}(c){:[P=(:-7","5","- ... See the full answer