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If you intend 'dimensions' to mean units then whenever the two quantities are to be operated on each other then they must have the 'dimensions', refer to dimensional analysis
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When two lines intersect how many points do they have in common?
Two lines intersect at one point. If in two dimensions, and they do not intersect they are parallel. The other option in two dimensions is they are the co-linear, that is they are the same line, in which case they intersect at all points.
What is an example of two rectangles having the same area but different dimensions?
The area of a rectangle is equal to its length times its width. So any two rectangles for which these dimensions have the same product, the area is the same. For example, a rectangle that is two meters wide and three meters long and one that is one meter wide and six meters long will both have an area of six square meters.
If two squares have the same area must they have the same perimeter?
yes
What must be true if two like segments are congruent?
They must be the same length.
Does a plane have 3 dimensions?
A plane has two dimensions, length and width.
Must two quantities have the same dimensions if you are multiplying them?
No
Must two quantities have the same dimensions if you are subtracting them?
Yes.
Must two quantities have the same dimensions when subtracting them?
Yes they must be in the same units of measurements.
Is it true that two quantities having the same dimensions must be measured in the same units?
No, it is not true.
For two vector quantities to be equal they must have the same direction and the same?
Same direction and equal magnitudes.
What is the dimension of 27 83?
The answer will depend on (a) whet the dimensions of the two quantities are, and (b) what the missing operator between the two quantities is.
Must two quantities have the same dimensions if you are adding them in physics?
Yes, always. One molecule plus one atom is not 2 of anything. One unit north plus one unit east is not 2 units northeast. ■
Is it possible for two quantities to have the same dimensions but different units?
No. Measurement units are defined by and conversely. So the same units necessarily means same dimensions.
What is it called when you multiply or divide two quantities by the same number?
Scaling is when you multiply or divide two quantities by the same number.
Two quantities that have the same units have the same dimensionality?
True-
What does the golden ratio means?
In mathematics, two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities.
What is the name for multiply or divide two quantities by the same number?
If the quantities are related linearly, then the operation would mean SCALING Otherwise it is just operations on the two quantities by a constant
