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When the angle between any two component vectors

is either zero or 180 degrees.

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Q: When is the vector sum equal in magnitude to the algebraic sum?
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Related questions

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.


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

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


How the magnitude of vector is equal to 1?

If the sum of the squares of the vector's components is ' 1 ',then the vector's magnitude is ' 1 '.


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.


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.


When is the vector sum of two quatities equal in magnitude to the scalar sum?

When all the vectors have the same direction.


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.


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.


Can the sum of two equal vectors be equal to either vector?

Only if one of them has a magnitude of zero, so, effectively, no.


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?

iff the angle between them is 120 degrees


Why is net force a vector sum?

Force is a vector, and so the sum of all forces acting on an object is a vector sum.


How do you determine that two vectors are orthogonal?

'Orthogonal' just means 'perpendicular'. You can establish that if neither vector has a component in the direction of the other one, or the sum of the squares of their magnitudes is equal to the square of the magnitude of their sum. If you have the algebraic equations for the vectors in space or on a graph, then they're perpendicular if their slopes are negative reciprocals.