Which of the following qauntities is dep...

Which of the following qauntities is dependent of the choice of orientation of coordinates axes?

`vecA + vecB`

`A_(x) + B_(y)`

`|vecA + vecB|`

Angle between `vecA and vecB`

Text Solution

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The correct Answer is:

A vector, its magnitude and the angle between two vectors do not depend on the choice of the orientation of the coordinate axes. `vecA + vecB, |vecA + vecB|`,angle between `vecA and vecB` are independent of the orientation of the coordinate axes.
but the quantity `A_(x) + B_(y)` depends upon the magnitude of the component along x and y-axes, soit will change with change in coordinate axes.

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Which of the following quantities are independent of the choice of orientation of the co-ordinate axes?

`a+b`

`a_(x)+b_(y)`

`|a+b-c|`

angle between `a` and `b`

Which of the following is independing of the choice of co-ordinate system

`vecP+vecQ+vecR`

`(P_(x)+Q_(x)+R_(x))hati`

`P_(x)hati+Q_(y)hatj+R_(z)hatk`

None of these

Which of the following is dependent of temperature ?

Molarity

Molality

Mole fration

Mass percentage