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In all cases except when they act in the same direction.

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Q: When is the vector sum of two vectors not equal in magnitude to their algebraic sum?
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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.


Is the sum of two vectors of equal magnitude equal to the magnitude of either vectors AND their difference root 3 times the magnitude of each vector?

No, the statement is incorrect. The sum of two vectors of equal magnitude will not equal the magnitude of either vector. The sum of two vectors of equal magnitude will result in a new vector that is larger than the original vectors due to vector addition. The magnitude of the difference between the two vectors will be smaller than the magnitude of either vector.


When is the vector sum equal in magnitude to the algebraic sum?

When the angle between any two component vectors is either zero or 180 degrees.


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.


How can the resultant of two vecters of the same magnitude be equal to the magnitude of either vector?

If the directions of two vectors with equal magnitudes differ by 120 degrees, then the magnitude of their sum is equal to the magnitude of either vector.


What is the angle between two vectors of equal magnitude whose resultant is equal to the magnitude of either vector?

69 degrees


What are unit vectors?

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


What are equal vector?

If both magnitude and direction are the same then the two vectors are said to be equal.


Vector component greater than the vectors magnitude?

A vector component can never be greater than the vector's magnitude. The magnitude of a vector is the length of the vector and is always greater than or equal to any of its individual components.


Can the resultant of two vectors be equal to zero?

Yes. A vector has magnitude and direction. If the vectors have equal magnitude and directly opposite directions their sum will be zero.


When two equal and opposite vectors are added their resultant vector has zero magnitude what is the direction of this resultant?

The direction of the resultant vector with zero magnitude is indeterminate or undefined because the two equal and opposite vectors cancel each other out completely.