What is the vector that results
from scaling the vector 𝐀 equal to negative six, negative three, negative one by a
factor of negative six?
When we multiply any vector by a
scalar, we simply multiply each of the components of the vector by the scalar. In this question, we want to
multiply the vector negative six, negative three, negative one by the scalar or
constant negative six. We recall that when multiplying two
negative numbers, we get a positive answer. This means that negative six
multiplied by negative six is positive 36. Negative six multiplied by negative
three is equal to 18. And negative six multiplied by
negative one is equal to six. If vector 𝐀 is equal to negative
six, negative three, negative one, multiplying this by the scalar negative six gives
us the vector 36, 18, six.