You can apply mathematical operations to the elements of a vector just as you would with a single number:
> my_vector <- c(4, 5, 6) > my_vector_times_ten <- my_vector*10 > my_vector_times_ten  40 50 60
You can also apply mathematical operations on pairs of vectors. In this case, each matching element is used for the operation.
> my_first_vector <- c(1,2,3) > my_second_vector <- c(10, 20, 20) > my_first_vector + my_second_vector  11 22 23
We can also apply logical operations across vectors; again, this will return a vector with the operation applied to the pairs of values at each position.
> vector_a <- c(1,2,3) > vector_b <- c(1,2,4) > vector_a == vector_b  TRUE TRUE FALSE
Most functions will work with vectors just as they would with a single number. For example, let’s say we wanted to obtain the trignometric sine for each of a set of values. We could create a vector and pass it to the
sin() function, which will return as many sine values as there are input values:
> my_angle_values <- c(0, 1, 2) > my_sin_values <- sin(my_angle_values) > my_sin_values  0.00 0.84 0.91 k