Answered

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What is the component form of the vector represented by 8a when a=(-4,2)

Sagot :

Given the vector represented by:

[tex]8a[/tex]

You know that:

[tex]a\langle-4,2\rangle[/tex]

By definition, the Component Form of a vector is:

[tex]\vec{V}=\langle x,y\rangle[/tex]

In this case, you only need to multiply the coordinates of "a" by 8, in order to find the Component Form of:

[tex]8a[/tex]

Therefore, you get:

[tex]=\langle(8)(-4),(8)(2)\rangle=\langle-32,16\rangle[/tex]

Hence, the answer is:

[tex]\langle-32,16\rangle[/tex]

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