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Q: Does the vector 2v has the same direction as v but twice the magnitude of v?
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Related questions

Can magnitude of A-B vector be the same as B-A?

The magnitude is the same, the direction vector is not.


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 does a vector equal?

Any other vector with with the same magnitude and the same direction.


How to find the direction of vector when the magnitude is given?

You can't derive the direction only from the magnitude. A vector with the same magnitude can have different directions. You need some additional information to make conclusions about the direction.You can't derive the direction only from the magnitude. A vector with the same magnitude can have different directions. You need some additional information to make conclusions about the direction.You can't derive the direction only from the magnitude. A vector with the same magnitude can have different directions. You need some additional information to make conclusions about the direction.You can't derive the direction only from the magnitude. A vector with the same magnitude can have different directions. You need some additional information to make conclusions about the direction.


What is an opposite vector?

It is a vector with the same magnitude (size) but acting in the opposite direction.


When you double a vector does it change the heading?

No, the magnitude of the vector will double, but its direction will remain the same.


How can you find a unit vector in the same direction as the given vector?

Divide the vector by it's length (magnitude).


Can a vector be represented in terms of unit vector?

Yes, a vector can be represented in terms of a unit vector which is in the same direction as the vector. it will be the unit vector in the direction of the vector times the magnitude of the vector.


Can a vector that originates at the origin be equal to a vector that does not originate at the origin?

Yes, they can be of the same magnitude and direction.


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 simultaneous vectors be combined to form a resultant vector using pencil and paper?

Start with a point O. Draw a line OA in the direction of the first vector and whose length represents the magnitude of that vector (to some scale). From A, draw the line AB in the direction of the second vector and whose length represents the magnitude of that second vector (to the same scale). Then the direction and length of the straight line OB represent the direction and (to the same scale) the magnitude of the resultant vector.


What are unit vectors?

a unit vector is a vector which has exact same direction and has its length or magnitude equal to one