Scalar multiplication of vectors

Everything You Need in One Place

Homework problems? Exam preparation? Trying to grasp a concept or just brushing up the basics? Our extensive help & practice library have got you covered.

Learn and Practise With Ease

Our proven video lessons ease you through problems quickly, and you get tonnes of friendly practise on questions that trip students up on tests and finals.

Instant and Unlimited Help

Our personalized learning platform enables you to instantly find the exact walkthrough to your specific type of question. Activate unlimited help now!

0/7
?
Examples
Lessons
  1. Given that vector v=\vec{v}=<5,3> , determine 6v6\vec{v}

    1. Scalar multiplication
      1. determine 0p 0\vec{p}
      2. find the magnitude of 0p 0\vec{p}
    2. Given that vector w=\vec{w} = <10,410,-4>
      1. determine 12w\frac{1}{2}\vec{w}
      2. find the magnitude of 12w\frac{1}{2}\vec{w}

    3. Scalar multiplication
      1. determine 3t3\vec{t} and 3t||3t||
      2. determine 3t-3\vec{t} and 3t||-3t||

    4. Scalar multiplication

      1. Scalar multiplication

      2. Scalar multiplication
    Topic Notes
    ?
    We have learnt that for a vector arrow, the greater the length, the greater the magnitude. Now what if we somehow want to increase or decrease the magnitude of an existing vector? In this section, we will introduce scalar multiplication – a tool that allows us to lengthen or shorten a vector arrow, in other words, a technique that alters the magnitude of a vector.