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Is vector A parallel vector B given that vector A is equal to the zero vector and vector B is equal to the zero vector?
Wiki User
∙ 14y ago
The zero vector is both parallel and perpendicular to any other vector.
V.0 = 0 means zero vector is perpendicular to V and Vx0 = 0 means zero vector is parallel to V.
Wiki User
∙ 14y ago
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How to you find a vector parallel to two given vectors?
I think you meant to ask for finding a perpendicular vector, rather than parallel. If that is the case, the cross product of two non-parallel vectors will produce a vector which is perpendicular to both of them, unless they are parallel, which the cross product = 0. (a zero vector)
How would you define the zero vector by using the idea of components?
All components of the zero vector equal to zero.
When the angle between two vectors is equal to zero?
When the angle between two vectors is zero ... i.e. the vectors are parallel ... their sum is a vector in thesame direction, and with magnitude equal to the sum of the magnitudes of the two original vectors.
Can the magnitude of a vector be equal to one of its components?
Yes. A vector in two dimensions is broken into two components, a vector in three dimensions broken into three components, etc... If the value of all but one component of a vector equal zero then the magnitude of the vector is equal to the non-zero component.
If vector c equals vector a plus vector b under what circumstances does c equal a minus b?
When b is zero.
How to you find a vector parallel to two given vectors?
I think you meant to ask for finding a perpendicular vector, rather than parallel. If that is the case, the cross product of two non-parallel vectors will produce a vector which is perpendicular to both of them, unless they are parallel, which the cross product = 0. (a zero vector)
How would you define the zero vector by using the idea of components?
All components of the zero vector equal to zero.
When the angle between two vectors is equal to zero?
When the angle between two vectors is zero ... i.e. the vectors are parallel ... their sum is a vector in thesame direction, and with magnitude equal to the sum of the magnitudes of the two original vectors.
Can the magnitude of a vector be equal to one of its components?
Yes. A vector in two dimensions is broken into two components, a vector in three dimensions broken into three components, etc... If the value of all but one component of a vector equal zero then the magnitude of the vector is equal to the non-zero component.
When two equal and opposite vectors are added their resultant vector has zero magnitude what is the direction of this resultant?
The zero-vector has no direction.
What is equalibrium in physics?
The sum of all forces is equal to zero when added using the vector method The sum of all torque is equal to zero when added using the vector method
Can the sum of two vector be equal to either of the vector?
Only if one of them has a magnitude of zero, so, effectively, no.
If vector c equals vector a plus vector b under what circumstances does c equal a minus b?
When b is zero.
Will a vector be zero if anyone of its component is zero?
If any component of a vector is not zero, then the vector is not zero.
If two vector have equal magnitudes can their sum be zero Explain?
Sum of two vectors can only be zero if they are equal in magnitude and opposite in direction. So no two vector of unequal magnitude cannot be added to give null vector. Three vectors of equal magnitude and making an angle 120 degrees with each other gives a zero resultant.
What is the physical significance of null vectors?
Zero vector or null vector is a vector which has zero magnitude and an arbitrary direction. It is represented by . If a vector is multiplied by zero, the result is a zero vector. It is important to note that we cannot take the above result to be a number, the result has to be a vector and here lies the importance of the zero or null vector. The physical meaning of can be understood from the following examples. The position vector of the origin of the coordinate axes is a zero vector. The displacement of a stationary particle from time t to time tl is zero. The displacement of a ball thrown up and received back by the thrower is a zero vector. The velocity vector of a stationary body is a zero vector. The acceleration vector of a body in uniform motion is a zero vector. When a zero vector is added to another vector , the result is the vector only. Similarly, when a zero vector is subtracted from a vector , the result is the vector . When a zero vector is multiplied by a non-zero scalar, the result is a zero vector.
What is a zero vector?
A zero vector is a vector whose value in every dimension is zero.
