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Vector addition and Vector Subtraction is considered one of the most asked concept.
26 Questions around this concept.
Two forces are such that the sum of their magnitude is 18N, and their resultant is 12N which is perpendicular to the smaller force. Then the magnitude of the forces are
A particle has two velocities of equal magnitude inclined to each other at an angle θ. If one of them is halved, the angle between the other and the original resultant velocity is bisected by the new resultant. Then
If the magnitude of the sum of two vectors is equal to the magnitude of the difference of the two vectors, the angle between these vectors is:
A particle is moving along north after moving for 2 sec with a speed of 4 m/s, its speed becomes 5m/s.What is its displacement (in meters) at end of 7 sec
Which is true regarding Vector addition?
Vector addition-
Vectors quantities are not added to simple algebraic rules, because of their direction that matter.
Addition of vector means determining their resultant.
When two vectors are in the same direction then upon addition the direction of the resultant vector is the same as any of the two vectors, while the magnitude of the resultant vector is simply the algebraic sum of two vectors.
eg, Vector
2) Vector Subtraction-
- Vector subtraction of
- eg,Vector
Vector subtraction of
Resultant vector has magnitude 2 in east direction.
For the case when both vectors does not have the same direction
Triangle law of vector Addition
If two vectors are represented by both magnitude and direction by two sides of triangle taken in same order then their resultant is represented by
Figure represents triangle law of vector Addition
So resultant side C is given by
Where
Parallelogram law of vector Addition
If two vectors are represented by both magnitude and direction by two adjacent side of parallelogram taken from same point then their resultant is also represented by both magnitude and direction taken from the same point but by diagonal of parallelogram.
Figure represents law of parallelogram vector Addition
Sum of vector remains the same in whatever order they may be added.
Fig. Shows Commutative law of vector addition.
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