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If a vector's initial point is at the origin, what does this imply about the vector?
The vector has no magnitude.
The vector has zero direction.
The vector is undefined.
The vector's tail coincides with its head.
If vector A has an initial point at (1, 2) and vector B has an initial point at (3, 4), what can you conclude about these vectors?
Vector A is longer than vector B.
Vector A is shorter than vector B.
The vectors are equal in magnitude.
No conclusion can be drawn solely from the initial points.
Fill in the blank:
If vector A has an initial point at (1, 2) and its terminal point is at (4, 6), then components of vector A is ________.
[1, 2]
[3, 4]
[4, 6]
[3, 2]
If vector P starts at the origin and vector Q starts at the initial point of vector P, what can be said about the initial points of vectors P and Q?
They are the same point.
They are different points.
They are both on the x-axis.
They are both on the y-axis.
If a vector has an initial point at (2, 3), where does it start in the coordinate plane?
2 units right and 3 units up from the origin.
2 units left and 3 units down from the origin.
2 units left and 3 units up from the origin.
2 units right and 3 units down from the origin.
The vector __________ has terminal point at (3, 5).
A = [3, 5]
B = [-2, -2]
C = [0, 0]
Which of the following properties is true for the initial point of a vector?
It is always the origin (0,0).
It lies on the x-axis.
It depends on the magnitude of the vector.
It is not well-defined.
Is this statement true or false?
The initial point of a vector can be anywhere in the coordinate plane.
True
False
The initial point of a vector uniquely determines the vector's magnitude.
If vector A has an initial point at (-1, -1) and its terminal point is at (2, 5), the direction of vector A is ________.
Upwards
Downwards
Rightwards
Leftwards
It is done.