Equal quantities.
no
Only like terms can be added or subtracted. 10m and 1s cannot be added; but divided, 10 m/s becomes a velocity.
Yes, that's true. Basically you can multiply and divide them; but you can't add, subtract, or compare them.
The size of the quantities involved doesn't matter. As long as you add or subtract (or divide or multiply) the same number to or from both sides of the equation, then the two sides remain equal.
Equal quantities.
Identical quantities can be added (or subtracted) from each side. Each side can also be multiplied (or divided) by any quantity.
no
A pair of scalar quantities are two physical quantities that have only a magnitude or size with no direction. Examples include mass, temperature, and speed. Scalars can be added, subtracted, multiplied, and divided like regular numbers.
Equal
Only like terms can be added or subtracted. 10m and 1s cannot be added; but divided, 10 m/s becomes a velocity.
Quantities that are equal can be added or subtracted from both sides of an equasion. For example: x + 2 = 36 subtract both sides by 2 x = 34
Mainly because they aren't scalar quantities. A vector in the plane has two components, an x-component and a y-component. If you have the x and y components for each vector, you can add them separately. This is very similar to the addition of scalar quantities; what you can't add directly, of course, is their lengths. Similarly, a vector in space has three components; you can add each of the components separately.
Yes, that's true. Basically you can multiply and divide them; but you can't add, subtract, or compare them.
The size of the quantities involved doesn't matter. As long as you add or subtract (or divide or multiply) the same number to or from both sides of the equation, then the two sides remain equal.
Because thats how y convert
Vector quantities have both magnitude and direction, so when adding or subtracting them, both the magnitudes and directions must be considered. Scalars, on the other hand, only have magnitudes and can be added or subtracted without concern for direction. This is why vector addition and subtraction involve vector algebra to handle both the magnitudes and directions appropriately.