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Scalar multiplication of vectors
- Lesson: 17:15
- Lesson: 23:02
- Lesson: 32:32
- Lesson: 4a2:19
- Lesson: 4b2:15
- Lesson: 5a5:59
- Lesson: 5b4:57
Scalar multiplication of vectors
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.
Basic Concepts: Reflection across the x-axis: y=−f(x), Transformations of functions: Horizontal stretches, Transformations of functions: Vertical stretches
Lessons
- 1.Given that vector v=<5,3> , determine 6v
- 2.
a)determine 0pb)find the magnitude of 0p - 3.Given that vector w=<10,−4>a)determine 21wb)find the magnitude of 21w
- 4.
a)determine 3t and ∣∣3t∣∣b)determine −3t and ∣∣−3t∣∣ - 5.
a)
b)