## Question

###### Solve for #vec a, vec b# the system #vec a + vec b = vec c# and #vec a - vec b = vec d# ?

Solve for #vec a, vec b# the system #vec a + vec b = vec c# and #vec a - vec b = vec d# ?

## Answers

See below.

## Explanation:

#vec a + vec b = vec c#

#vec a - vec b = vec d# Adding the two equations we get

#2 vec a = vec c+vec d# or

#vec a = 1/2(vec c+vec d)# analogously subtracting the equations we get at

#2 vec b = vec c-vec d# or

#vec b = 1/2( vec c-vec d)#

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