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Vector Addition And Vector Subtraction MCQ - Practice Questions with Answers

Edited By admin | Updated on Sep 25, 2023 25:23 PM | #NEET

Quick Facts

  • Vector addition and Vector Subtraction is considered one of the most asked concept.

  • 26 Questions around this concept.

Solve by difficulty

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 θ is :

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?

Concepts Covered - 1

Vector addition and Vector Subtraction
  • For the simple case in which both vectors have the same direction
  1. 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 A has magnitude 4 \& vector B has magnitude 2 in same direction. A+B=4+2=6 So resultant has magnitude equal to 6 while its direction is either along A or B

     2) Vector Subtraction-

  • - Vector subtraction of B from A is equal to Vector addition of A and negative vector of B.

    AB=A+(B)

    - eg,Vector A and B are in east direction with magnitudes 4 and 2 respectively.

    Vector subtraction of B from A is equal

    =AB=42=2


    Resultant vector has magnitude 2 in east direction.

  • For the  case when both vectors does not have the same direction

  1. 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 3rd side of triangle. 

Figure represents triangle law of vector Addition

So resultant  side C is given by 

c=a2+b2+2abcosθ


Where θ= angle between two vectors.

  1.  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

  • Commutative law-

Sum of vector remains the same in whatever order they may be added.

P+Q=Q+P

Fig. Shows Commutative law of vector addition.

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Vector addition and Vector Subtraction

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