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Is the magnitude of a vector the same as the angle formed by the vector?
Wiki User
∙ 12y ago
No, the magnitude of a vector is the length of the vector, while the angle formed by a vector is the direction in which the vector points relative to a reference axis. These are separate properties of a vector that describe different aspects of its characteristics.
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Is a vector necessarily changed if it is rotated through a angle?
No, a vector's magnitude and direction can remain the same if it is rotated through an angle, as long as the rotation occurs around an axis that is parallel to the vector. The vector is considered unchanged in this scenario.
Is vector necessarily changed if it is rotated through an angle?
No, a vector is not necessarily changed just by being rotated through an angle. The magnitude and direction of the vector may remain the same even after rotation.
Does the Vector Velocity change if the angle changes?
Yes. You can consider a vector of being made up of a magnitude (size) and a direction. If any of the two changes, it is no longer the same vector. Alternately, you can also consider a vector (in two dimensions, for simplicity) as being made up of an x-component and a y-component. It is not possible to change the angle without changing at least one of the two components.
Do the vector components double if the vector doubles with the same direction?
Yes, if a vector doubles in magnitude with the same direction, then its components will also double in value. This is because the components of a vector are directly proportional to its magnitude in the same direction.
Can the resultant of two equal vectors be of same magnitude as the two vectors?
No, the resultant of two equal vectors will have a magnitude that is not equal to the magnitude of the original vectors. When two vectors are added together, the resulting vector will have a magnitude that depends on the angle between the two vectors.
Is a vector necessarily changed if it is rotated through a angle?
No, a vector's magnitude and direction can remain the same if it is rotated through an angle, as long as the rotation occurs around an axis that is parallel to the vector. The vector is considered unchanged in this scenario.
Is vector necessarily changed if it is rotated through an angle?
No, a vector is not necessarily changed just by being rotated through an angle. The magnitude and direction of the vector may remain the same even after rotation.
Can magnitude of A-B vector be the same as B-A?
The magnitude is the same, the direction vector is not.
When two vectors A and B are drawn from the same point the angle between them is phi If A and B have the same magnitude which value of phi will their vector sum have the same magnitude as A or B?
120 degrees. Go mountaineers!
Does the Vector Velocity change if the angle changes?
Yes. You can consider a vector of being made up of a magnitude (size) and a direction. If any of the two changes, it is no longer the same vector. Alternately, you can also consider a vector (in two dimensions, for simplicity) as being made up of an x-component and a y-component. It is not possible to change the angle without changing at least one of the two components.
What does a vector equal?
Any other vector with with the same magnitude and the same direction.
Do the vector components double if the vector doubles with the same direction?
Yes, if a vector doubles in magnitude with the same direction, then its components will also double in value. This is because the components of a vector are directly proportional to its magnitude in the same direction.
What is an opposite vector?
It is a vector with the same magnitude (size) but acting in the opposite direction.
Can the magnitude of resultant of two vectors of the same magnitude be equal of magnitude of either vector?
yes
Can the resultant of two equal vectors be of same magnitude as the two vectors?
No, the resultant of two equal vectors will have a magnitude that is not equal to the magnitude of the original vectors. When two vectors are added together, the resulting vector will have a magnitude that depends on the angle between the two vectors.
When is the vector sum not equal in magnitude to the algebraic sum?
The magnitude of the vector sum will only equal the magnitude of algebraic sum, when the vectors are pointing in the same direction.
How can you find a unit vector in the same direction as the given vector?
Divide the vector by it's length (magnitude).
