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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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You are buying a house that cost 650,000 and you put down a down payment. you take out a loan for the remainder of the amount, o
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<h3>Answers:</h3>

Monthly Payment = $4,702.68

Total Payments = $846,482.40

Interest = $261,482.40

Delete the dollar signs and/or commas if needed.

=====================================================

Explanation:

The down payment is 10% of the home's value

This means that the buyer pays $65,000 up front (since 0.10*650,000 = 65,000).

The remaining 650,000 - 65,000 = 585,000 dollars is loaned in the mortgage.

Or you could write it like this 95% of 650,000 = 0.95*650,000 = 585,000

-----------------

The monthly payment formula is

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So,

P = (L*i)/( 1-(1+i)^(-n) )

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The monthly payment is $4,702.68

-----------------

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The total payments add up to 846,482.40 dollars.

-----------------

To compute the interest only, subtract the total payments from the amount loaned.

846,482.40 - 585,000 = 261,482.40 is the amount of interest only.

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