Question Video: Multiplying Vectors by Scalars | Nagwa Question Video: Multiplying Vectors by Scalars | Nagwa

Question Video: Multiplying Vectors by Scalars Mathematics • First Year of Secondary School

Given that 𝐀 = 〈−1, −8〉, find 3𝐀.

00:56

Video Transcript

Given that vector 𝐀 is equal to negative one, negative eight, find three 𝐀.

Multiplying a vector by any real number, as in this case, is known as scalar multiplication. In order to perform scalar multiplication, we multiply each component of the vector by the scalar. In this question, we need to multiply the vector negative one, negative eight by three. Multiplying a positive number by a negative number gives a negative answer. Therefore, three multiplied by negative one is negative three. Three multiplied by negative eight is equal to negative 24. Three multiplied by the vector 𝐀 or the vector three 𝐀 is equal to negative three, negative 24.

Join Nagwa Classes

Attend live sessions on Nagwa Classes to boost your learning with guidance and advice from an expert teacher!

  • Interactive Sessions
  • Chat & Messaging
  • Realistic Exam Questions

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