# To find inner product in vector spaces

Find each of the following for the given inner product defined in R^2

a) d(u,v)

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)

#### Solution Preview

...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 ...