2. Find Angle between two vectors
`A=(3,4)`, `B=(4,3)`

Solution:
Here `vec A=(3,4),vec B=(4,3)`

The angle between two vectors `vec A` and `vec B` is given by

`cos(theta)=(vec A * vec B)/(|vec A| * |vec B|)`

1. Calculate dot product
`vec A * vec B`

`=A_1*B_1+A_2*B_2`

`=3*4+4*3`

`=12+12`

`=24`

2. Calculate magnitude of vectors
`|vec A|`

`=sqrt(A_1^2 + A_2^2)`

`=sqrt(3^2 + 4^2)`

`=sqrt(9 + 16)`

`=sqrt(25)`

`=5`


`|vec B|`

`=sqrt(B_1^2 + B_2^2)`

`=sqrt(4^2 + 3^2)`

`=sqrt(16 + 9)`

`=sqrt(25)`

`=5`


3. Calculate angle between vectors
`cos(theta)=(vec A * vec B)/(|vec A| * |vec B|)=(24)/(5 * 5)=24/25`

`:. theta=cos^(-1)(24/25)`

`:. theta=0.2838` rad Or `theta=16.2602 ^circ`

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