What is the magnitude and direction of vectors i+j and i-j ?

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Answer 1 · 2018-01-23T10:28:08

for#" "hati+hatj#

magnitude#=sqrt2#

direction#" "+45^o#to the x-axis

for#" "hati-hatj#

magnitude#=sqrt2#

direction#=-45^o" "#to the x-axis

for #" "hati+hatj#

#|hati+hatj|=sqrt(1^2+1^2)=sqrt2#

direction#=tan^(-1)(1/1)=+45^o#to the x-axis

for#" "hati-hatj#

#|hati-hatj|=sqrt(1^2+1^2)=sqrt2#

direction#=tan^(-1)(-1/1)=-45^o" "#to the x-axis