Find a.b if a = <2, 4>, b = <2, 5>

Solution:

Given a = <2,4> and b = <2,5>

We can rewrite them in the vector form as a = 2i + 4j and b = 2i + 5j

The dot product of two vectors can be defined as the product of their lengths and cosine of the angle between them.

It can also be calculated as the sum of the product of coefficients in individual directions.

a.b = (2)(2) + (4)(5)

a.b = 4 + 20

a.b = 24

Therefore, a.b = 24

Find a.b if a = <2, 4>, b = <2, 5>

Summary:

If a = <2, 4>, b = <2, 5> then a.b = 24.