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stepan [7]
3 years ago
11

Learning goal: to understand the rules for computing dot products. let vectors a=(2,1,−4), b=(−3,0,1), and c=(−1,−1,2). part a -

dot product of the vectors a and b calculate a⋅b. express your answer numerically. view available hint(s)
Mathematics
1 answer:
miv72 [106K]3 years ago
3 0
For this case we have the following vectors:
 a = (2,1, -4)

b = (- 3,0,1)

c = (- 1, -1,2)
 The dot product of two vectors is a scalar.
 The point product consists of multiplying component by component and then adding the result of the multiplication of each component.
 For the product point of the vectors a and b we have:
 a.b = (2,1, -4). (- 3,0,1)

a.b = (2) (- 3) + (1) (0) + (-4) (1)

a.b = - 6 + 0 - 4

a.b = - 10
 Answer:
 
The product point of the vectors a and b is: 
 
a.b = - 10
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<h2><em><u>x</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>3</u></em><em><u>,</u></em><em><u> </u></em><em><u>y</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>2</u></em></h2>

Step-by-step explanation:

<em><u>As</u></em><em><u> </u></em><em><u>due</u></em><em><u> </u></em><em><u>to</u></em><em><u> </u></em><em><u>congruency</u></em><em><u>,</u></em>

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<em>[</em><em>By</em><em> </em><em>putting</em><em> </em><em>the</em><em> </em><em>values</em><em> </em><em>of</em><em> </em><em>x</em><em> </em><em>=</em><em> </em><em>3</em><em> </em><em>and</em><em> </em><em>y</em><em> </em><em>=</em><em> </em><em>2</em><em>]</em>

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<em>[By putting the values of x = 3 and y = 2]</em>

=> 3 = 2 + 1

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<em><u>Hence</u></em><em><u>,</u></em><em><u> </u></em><em><u>proved</u></em>

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