A 2D vector can have a component equal to zero even when its magnitude is nonzero.
1 answer:
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 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, , 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.
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Answer:
Second option: One solution. Independent.
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "b" is the y-intercept.
Since the equations of the system have this form, we know that they are lines.
We can identify that the y-intercept of the first equation is:
Now we need to find the x-intercept. Substitute and solve for "x":
Then, we can graph the first line which passess through the points (0,1) and (0.2,0). Observe the graph attached.
The y-intercept of the second equation is:
Now we need to find the x-intercept. Substitute and solve for "x":
Then, we can graph the second line, which passess through the points (0,-2) and (-1,0).
You can observe in the graph that the lines intersect at the point (1,-4). Therefore, that point is the solution of the system of equations.
Since the lines intersect, then there is one solution that is true for both equations. It is independent
