Scalar multiplication of vectors

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Now Playing:Scalar multiplication– Example 1

Given that vector $\vec{v}=$ <5,3> , determine $6\vec{v}$
1. determine $0\vec{p}$
2. find the magnitude of $0\vec{p}$
Given that vector $\vec{w} =$ < $10,-4$ >
1. determine $\frac{1}{2}\vec{w}$
2. find the magnitude of $\frac{1}{2}\vec{w}$
1. determine $3\vec{t}$ and $||3t||$
2. determine $-3\vec{t}$ and $||-3t||$

.body-katex a { word-break: break-word; } Introduction to vectors Jump to: Notes Prerequisites 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 . Prerequisites Reflection across the x-axis: y = -f(x) Transformations of functions: Horizontal stretches Transformations of functions: Vertical stretches

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