let a,b be nth dimensional vector
a= (a1,a2,..,an)
b= (b1,b2,...,bn)
a+b =(a1,a2,..,an) + (b1,b2,...,bn) = ( a1+b1,a2+b2,...,an+bn)
a-b =(a1,a2,..,an) - (b1,b2,...,bn) = ( a1-b1,a2-b2,...,an-bn)
e.g n=2
a=(a1,a2),b=(b1,b2)
a+b= (a1+b1,a2+b2)
a-b= (a1-b1,a2-b2)