Suppose you had two magnets, who were attracted to each other, and you brought them together. Then took them apart by separating
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First,
where is density,
is mass, and
is volume. We can compute the volume of the roll:
When the roll is unfurled, the aluminum will be a rectangular box (a very thin one), so its volume will be the product of the given area and its thickness . Note that we're assuming the given area is not the actual total surface area of the aluminum box, but just the area of the largest face (i.e. the area of one side of the unrolled sheet of aluminum).
So we have
where is the given area, so
If we're taking significant digits into account, the volume we found would have been , in turn making the thickness
.
- The angle between the two vectors is 90° .
- The dot product of two vectors .
- The cross product of two vectors .
⚡ Let and
are the two vectors .
✍️ We have know that,
Where,
- θ = 90°
- cos 90° = <u>0</u>
[1] The dot product of two vectors is “ <u>0</u> ” .
✍️ We have know that,
Where,
- θ = 90°
- sin 90° = <u>1</u>
[2] The cross product of two vectors is “ <u>ab</u> ” .