The sum of two vector A and B is 5i+j and their difference is 3i-2j the vector then is?

1 Answer
Aug 9, 2018

Answer:

The vectora are #vecA=(4hati-1/2hatj)# and #vecB=(hati+3/2hatj)#

Explanation:

The sum is

#vecA+vecB=5hati+1hatj#

The difference is

#vecA-vecB=3hati-2hatj#

Adding the #2# equations

#2vecA=8hati-1hatj#

#vecA=1/2(8hati-1hatj)=4hati-1/2hatj#

Subtracting the #2# equations

#2vecB=2hati+3hatj#

#vecB=1/2(2hati+3hatj)=hati+3/2hatj#