Question Find the vectors that satisfy the stated conditions. NOTE: Enter the ecact answers using the provided round brackets.. (a) Oppositely directed to v= : (5, -8) and half the length of v. w = |(?, ?) ) (b) Length V13 and same direction as v = (8,0, –1). = w=|(?, ?, ?) 7

DHDWKG The Asker · Calculus

Transcribed Image Text: Find the vectors that satisfy the stated conditions. NOTE: Enter the ecact answers using the provided round brackets.. (a) Oppositely directed to v= : (5, -8) and half the length of v. w = |(?, ?) ) (b) Length V13 and same direction as v = (8,0, –1). = w=|(?, ?, ?) 7
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Transcribed Image Text: Find the vectors that satisfy the stated conditions. NOTE: Enter the ecact answers using the provided round brackets.. (a) Oppositely directed to v= : (5, -8) and half the length of v. w = |(?, ?) ) (b) Length V13 and same direction as v = (8,0, –1). = w=|(?, ?, ?) 7
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T0I4MG

a)v=(5,-8)lengthof (v)=sqrt(25+64)=sqrt89let w=(-5k,8k) which in opposite direction tovlet length (w)=(1)/(2)sqrt89{:[sqrt(25k^(2)+64k^(2))=(1)/(2)sqrt89],[k ... See the full answer