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Karolina [17]
3 years ago
13

Can someone please help me out with this question? I need an answer ASAP. Thank you!!!

Mathematics
2 answers:
LekaFEV [45]3 years ago
5 0
<h2>Answer:</h2>

The resultant of the dot product of two vectors is:

                     v\cdot w=22

<h2>Step-by-step explanation:</h2>

We are asked to find the dot product of the two vectors v and w.

The vectors are given by:

r = <8, 8, -6>; v = <3, -8, -3>; w = <-4, -2, -6>

This means that  in the vector form they could be written as follows:

r=8\hat i+8\hat j -6\hat k\\\\v=3\hat i-8\hat j -3\hat k\\\\w=-4\hat i-2\hat j -6\hat k

Hence, the dot product of two vectors is the sum of the product of the entries corresponding to each direction component.

i.e. the x-component get multiplied to each other, y-component get multiplied to each other and so happens with z.

Hence, the dot product of v and w is calculated as:

v\cdot w=3\times (-4)-8\times (-2)-3\times (-6)\\\\i.e.\\\\v\cdot w=-12+16+18\\\\i.e.\\\\v\cdot w=22

FinnZ [79.3K]3 years ago
4 0

Multiply corresponding components, then add the products:

v\cdot w=3(-4)+(-8)(-2)+(-3)(-6)=22

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