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algol [13]
3 years ago
6

Use the vectors u = 4, 4 and v = −8, 3 to find the indicated quantity. (u · v)v

Mathematics
1 answer:
Olin [163]3 years ago
7 0

The scalar product, or dot product, of two vectors is the sum of the products of corresponding coordinates.

... u·v = (4, 4)·(-8, 3) = 4(-8) + 4(3) = -20

Then the product of a scalar and a vector is a vector with each of the original coordinates multiplied by the scalar.

... (u·v)v = -20v = -20(-8, 3) = (160, -60)

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Kamila [148]

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Step-by-step explanation:

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4 0
3 years ago
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Find the equation of the line through (-7, -2) that is perpendicular to the line y = x/3+6.
azamat

Answer:

y = −3x − 23

Step-by-step explanation:

The equation of the line in the slope-intercept form is y= x/3 + 6.

The slope of the perpendicular line is negative inverse: m = −3.

So, the equation of the perpendicular line is y = −3x + a.

To find a, we use the fact that the line should pass through the given point:

−2 = (−3) ⋅ (−7) + a.

Thus, a = −23.

Therefore, the equation of the line is y = −3x − 23.

Answer: y =−3x − 23

6 0
3 years ago
Which is an incorrect rounding for 53.864<br><br>A.54<br><br>B.53.87<br><br>C.53.9<br><br>D.50
kotegsom [21]

The incorrect rounding for 53.864 is 53.87

<h3>How to approximation a decimal?</h3>

The decimal to be approximated is as follows;

53.864

The first option rounded the decimal to 2 significant figures or a whole number.

The second option is incorrect because they rounded it wrongly to 2 decimal places. The correct 2 decimal round is 53.86.

The third option is approximated rightly to one decimal place.

The last option is rounded to the closes tens term.

learn more on approximation here: brainly.com/question/9608644

#SPJ1

7 0
2 years ago
What is the LCM of 16a 3 b and 24ab 2?
vitfil [10]

Do the operation:

3, 16, 24 | 2

3, 8, 12 | 2

3, 4, 6 | 2

3, 2, 3 | 2

3, 1, 3 | 3

1, 1

Answer:

\boxed{\bf~The~answer~is~2^{4}~*~3~or~48.}

Hope it helped,

Happy homework/ study/ exam!

6 0
3 years ago
30. Multiply a decimal less than 1 and a whole number._____________________
Talja [164]
30.
the multiplication of a decimal less than 1 and a whole number is always smaller than the whole number, because we are taking a fraction of the whole number.

31.
the product of a decimal greater than 1 and a whole number is always greater than the whole number because we are scaling the whole number.
3 0
3 years ago
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