Question

How do you perform scalar multiplication with vectors?

Answer 1

Multiply each component by said scalar

Explanation:

Given a vector `v` of any dimension:

`v = (v_1, v_2, ..., v_n)`

The multiplication between `v` and any scalar `lambda` is defined as

`lambda v = (lambda v_1, lambda v_2, ..., lambda v_n)`

For example, if `n=3` and you consider `v = (1,4,-6)` and `lambda=2` you have

`lambda v = 2v = (2,8,-12)`