Question Video: Scaling a 3D Vector Mathematics

What is the vector that results from scaling the vector 𝐀 = 〈−6, −3, −1〉 by a factor of −6?

01:09

Video Transcript

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.

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.