What is the minimum number of coplanar vector | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) For the resultant of a set of vectors to be zero,the vectors must form a closed polygon when placed head-to-tail.If we have two vectors with diffe

Vedclass · Accepted Answer

$3$

Vedclass · Answer

(B) For the resultant of a set of vectors to be zero,the vectors must form a closed polygon when placed head-to-tail.If we have two vectors with different magnitudes,their resultant can never be zero because they cannot form a closed shape (they would form a line segment if they are collinear or a triangle with an open side if they are not).With three coplanar vectors of different magnitudes,we can form a triangle such that the sum of the vectors is zero (e.g.,$\vec{A} + \vec{B} + \vec{C} = 0$).Therefore,the minimum number of coplanar vectors with different magnitudes required to obtain a zero resultant is $3$.

What is the minimum number of coplanar vectors having different magnitudes that can be added to give a zero resultant?

Similar Questions

If $\vec{A} + \vec{B} = \vec{C}$ and $A + B = C$,what is the angle between $\vec{A}$ and $\vec{B}$?

While travelling from one station to another,a car travels $75 \, km$ North,$60 \, km$ North-east,and $20 \, km$ East. The minimum distance between the two stations is.......$km$

Explain the commutative law for vector addition.

The magnitudes of two vectors are $A$ and $B$ $(A > B)$. If the maximum resultant magnitude of the two vectors is $n$ times their minimum resultant magnitude,then $\frac{A}{B} =$

If the square of the resultant of two forces of equal magnitude is equal to three times their product,then the angle between them is ........ $^o$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module