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How do you find a) u+v, b) u-v, c) 2u-3v given #u=i+j, v=2i-3j#?

1 Answer

Dec 18, 2017

See the explanation below

Explanation:

The vectors are

#vecu=hati+hatj#

#vecv=2hati-3hatj#

Therefore,

#(a)#

#vecu+vecu=hati+hatj+2hati-3hatj=3hati-2hati#

#(b)#

#vecu-vecu=hati+hatj-2hati+3hatj=-hati+4hati#

#(c)#

#2vecu-3vecu=2(hati+hatj)-3(2hati-3hatj)#

#=2hati+2hatj-6hati+9hatj#

#=-4hati+11hatj#

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