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Anton [14]
3 years ago
10

Find the sum of the given vectors and illustrate geometrically. [-1,4],[6,-2]

Mathematics
1 answer:
cricket20 [7]3 years ago
4 0

Answer:

The sum of vectors is <5,2>.

Step-by-step explanation:

The given vectors are <-1,4> and <6,-2>.

We need to find the sum of the given vectors and illustrate geometrically.

Plot the point (-1,4) on a coordinate plane and draw a vector <a> from (0,0) to (-1,4).

Plot the point (6,-2) on a coordinate plane and draw a vector <b> from (0,0) to (6,-2).

Now complete the parallelogram and the diagonal represents the sum of both vectors.

The end point of the diagonal is (5,2). It means sum of vectors is <5,2>.

Check the sum of vectors:

+==

Therefore, the sum of vectors is <5,2>.

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Answer:

Width = 12 feet

Step-by-step explanation:

Given that,

Area of a rectangle is 168 square feet.

The ratio of the width to the length is  6:7.

Let the length is 7x and width is 6x.

According to question,

Area = 168 sq feet

l×b=168 sq feet

7x × 6x = 168

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x² = 4

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Length = 7x = 7(2) = 14 feet

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So, the width of the rectangle us 12 feet.

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The National Aeronautics and Space Administration (NASA) purchased a new solar-powered battery guaranteed to have a failure rate
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