Answer:
T F F F T F T
Step-by-step explanation:
A 2D vector can have a component equal to zero even when its magnitude is nonzero. TRUE.
it will be actually a 1d vector, but it's still a 2d vector too. this happens when the vector it's aligned to one of the axis.
The direction of a vector can be different in different coordinate systems. FALSE
The direction of a vector is independent of any coordinate system.
A 2D vector can have a magnitude equal to zero even when one of its components it nonzero. FALSE.
because the only way [tex]\sqrt{x^{2} +y^{2} } =0[/tex] is that both x and y are equal to zero
The magnitude of a vector can be different in different coordinate systems. FALSE.
The magnitude stays the same in every coordinate system
It is possible to multiply a vector by a scalar. TRUE.
it changes only it's magnitude.
It is possible to add a scalar to a vector. FALSE.
you can´t sum elements of diferent spaces. R, [tex]R^{2}[/tex], etc
The components of a vector can be different in different coordinate systems.TRUE.
The components of a vector are just a way for identifying the vector, in a determinate coordinate system, the way i call those components will change as I change the name I call every point in the plane.
