Question

Magnitude of vector a is 2, magnitude of vector b is 3 and angle between them when placed tail to tail is 45 degrees. What is a.b ?

Answer 1

tell how to calculate so i calculate others

Answer 2

The dot product of two vectors a = [a1, a2, ... , an] and b = [b1, b2, ... , bn] is defined as:
\[ \mathbf{a}\cdot \mathbf{b} = \sum_{i=1}^n a_ib_i = a_1b_1 + a_2b_2 + \cdots + a_nb_n\]

Answer 3

and what about angle asad?

Answer 4

\[ \mathbf{a} \cdot \mathbf{b}=\left\|\mathbf{a}\right\| \, \left\|\mathbf{b}\right\| \cos \theta \,\]