To find inner product in vector spaces
Find each of the following for the given inner product defined in R^2
b) < u,v >
< u,v >=3u(subscript 1)v(subscript 1) + u(subscript 2)v(subscript 2)
where u=(-4,9) and v=(0,4)
...e root of (-4-0)^2 + (9-4)^2 = positive square root of 16 + 25 = (41)^1/2
REMARK. We remark here that there are several different ways of defining the inner product of two vectors. Apart from the formula given in this example,we can also define the inner ...