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FromTheMoon [43]
3 years ago
15

If a vector A has components A. 0, and Ay -0, then the magnitude of the vector is negative. Select one: True False

Physics
2 answers:
Dima020 [189]3 years ago
8 0

Answer:

False

Explanation:

The magnitude of any vector is given by,

||A||=\sqrt{A_x^2+A_y^2}

The magnitude of anything is never negative. It can be even seen from the formula that the components are squared. A squared value can never be negative. Even if the component is negative the square will be always positive.

So, magnitude of the vector is <u>not</u> negative.

Anika [276]3 years ago
7 0

Answer:

The given statement is false.

Explanation:

For a given vector \overrightarrow{A}=A_{x}\widehat{i}+A_{y}\widehat{j}

The magnitude is given by |A|=\sqrt{A_{x}^{2}+A_{y}^{2}}

As we can see that the quantity on the right side of equation is always positive since square root of a quantity is always positive thus we conclude that the magnitude of any vector and hence vector A is always positive.

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3 years ago
Find the cost of excavating a space 84 ft long, 42 ft wide, and 9 ft deep at a cost of $39/yd3. (simplify your answer completely
m_a_m_a [10]

The cost of excavating a space of 84 ft long, 42 ft wide, and 9 ft deep is $45864

Information about the problem:

  • Space long= 84 ft
  • Space wide= 42 ft
  • Space deep= 9 ft
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  • Total cost= ?

To solve this problem, we have to state the equation using the information of the problem:

Calculating the volume of the total space:

space volume = space long * space wide * space deep

space volume = 84 ft * 42 ft * 9 ft

space volume = 31752 ft3

By converting the volume from ft3 to yd3, we have:

31752 ft3 * (0,037037 yd3 / 1 ft3) = 1176 yd3

Calculating the cost of excavating the volume space:

Total cost = space volume * cost by yard3

Total cost = 1176 yd3 * $39/yd3

Total cost = $45864

<h3>What is volume?</h3>

It is the space occupied by a body, it is calculated by multiplying its dimensions, for example: length, height and width.

Learn more about volume at: brainly.com/question/12628341

#SPJ4

4 0
1 year ago
What two types of scientific knowledge can be expressed as mathematical equations? (Please don't tell me the answer could you pl
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For rectilinear motion, the distance traveled is equal to the initial velocity times the time, plus one-half of the acceleration times the square of the time. For projectile motion, the maximum distance is equal to the square of the initial velocity multiplied with the square of the sine of the launch angle, all over twice the gravity.
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Object A attracts object B with a gravitational force of 5 newtons from a given distance. If the distance between the two object
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Answer:

10 newtons, because the gravitaional force willbe stronger the closer it gets.

7 0
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