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Ira Lisetskai [31]
3 years ago
5

Find the work done in moving an object along a vector r=3i+2j-5k if the applied force is F=2i-j-k

Mathematics
2 answers:
Alex73 [517]3 years ago
8 0
The work is equivalent to the dot product of the two vectors.

W=\mathbf F\cdot\mathbf r=\langle2,-1,-1\rangle\cdot\langle3,2,-5\rangle=6-2+5=9
dexar [7]3 years ago
6 0

Answer:

W=9

Step-by-step explanation:

applying the following formula

W=r.f

here the dot indicates the dot product

then

W=(3i+2j-5k).(2i-j-k)

taking dot product

W=3.2+2.(-1)+(-5).(-1)

W=6-2+5

W=9

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Vadim26 [7]

Answer:

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by  2  gives the next term.

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5 0
3 years ago
Shape Length/Base Width/Height square 0.8 ft. 0.8 ft. rectangle 0.65 ft. 0.5 ft. triangle 0.6 ft. 0.6 ft.<br>If someone erased t
Monica [59]
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7 0
3 years ago
Please help and add explanation
Degger [83]

Answer:

y=-3x+10

Step-by-step explanation:

Since you know that the equation of the line is perpendicular to 1/3, you have to find the inverse of 1/3. You swap the denominator and numerator and make the number negative. In this case, it will be -3. Now that you know the slope is -3, you can use the equation y-y1=m(x-x1) where m is the slope. We know that the point (2,4) is in the graph so we can plug it into the equation. y-4=m(x-2). We know that the slope is -3 so we can plug it into the equation. y-4=-3(x-2). Simplify this to get y-4=-3x+6. Simplify this to get y=-3x+10. This means that the answer is y=-3x+10.

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3 0
3 years ago
What is the complement of an 18 degree angle
svlad2 [7]

Answer:

The complementary angle is 72

Step-by-step explanation:

Complementary angles add to 90 degrees

Let x be  the complementary angle

x+18 = 90

Subtract 18 from each side

x = 90-18

x = 72

6 0
4 years ago
Evaluate the expression: -4a2 + 3ab - (2a + 3b) if a = 1/4 and b = -12
svetlana [45]

Answer:

Value of equation = 26.25

Step-by-step explanation:

Given:

Equation given

-4a² + 3ab - (2a + 3b)

Given value of a = 1/4

Given value of b = -12

Find:

Value of equation

Computation:

-4a² + 3ab - (2a + 3b)

By putting value of a and b

-4(1/4)² + 3(1/4)(-12) - [2(1/4) + 3(-12)]

-4(1/16) - (36/4) - [2/4 - 36]

-4/16 - 36/4 - [-142/4]

- 0.25 - 9 + 142/4

-0.25 - 9 + 35.5

Value of equation = 26.25

8 0
3 years ago
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