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Is this statement true or false?
In quadrant I a vector have both positive x and y-components.
True
False
Fill in the blank:
In a three-dimensional Cartesian coordinate system, a vector has ________ components.
1
2
3
If the x-component of a vector is 0, what can be said about the vector's direction?
It points in the positive x-direction.
It points in the negative x-direction.
It points vertically.
Its direction cannot be determined.
If two vectors have the same direction, then their angle between them is ________.
0°
45°
90°
180°
The magnitude of a vector can be calculated using the components by using which mathematical operation?
Addition
Subtraction
Multiplication
Pythagorean theorem
In a vector triangle, the sum of all three angles is equal to 180°.
What is the result of adding two vectors' components separately?
Scalar multiplication
Vector multiplication
Dot product
Vector addition
If the x-component of a vector is -7 and the y-component is 24, what is the vector's angle with respect to the positive x-axis?
17°
73°
103°
163°
How are vector components typically represented?
As angles in degrees
As complex numbers
As ordered pairs of real numbers
If the x-component of a vector is 5 and the y-component is -3, then the vector's magnitude is _______.
4
5
It is done.