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If vector A has a magnitude of 7 and vector B has a magnitude of 9, what is the possible range for the magnitude of the vector difference A - B?
0 < | A - B | < 16
| A - B | = 16
| A - B | = 2
| A - B | = 7
Is this statement true or false?
The magnitude of a vector is always a positive value.
True
False
Fill in the blank:
The zero vector has a magnitude of _____.
5
2
-3
0 (zero vector)
If the magnitude of vector A is 10 and the magnitude of vector B is 8, what can you say about their dot product (A . B) based solely on their magnitudes?
A . B = 18
A . B = 2
A . B = 80
A . B = 0
If vector A has twice the magnitude of vector B, then the mathematical form is ________.
|A| = 2|B|
|B| = 2|A|
|A| = |B|
|A| = -2|B|
Which of the following is a property of the magnitude of a vector?
It depends only on the x-component of the vector.
It depends only on the y-component of the vector.
It depends only on the z-component of the vector.
It is independent of the coordinate system used.
What is the magnitude of a unit vector?
0
1
-1
It depends on the vector's direction.
The magnitude of a vector is always smaller than the magnitude of any of its components.
Which of the following operations can change the magnitude of a vector?
Translation
Rotation
Both translation and rotation
Neither translation nor rotation
If vector A has a magnitude of 5 and vector B has a magnitude of 3, then possible range for the magnitude of the vector sum A + B is ________.
2 < |A + B| < 8
| A + B | = 8
| A + B | = 2
| A + B | = 5
It is done.