The minimum number of vectors of unequal magnitude required to produce...
I think 3 bcoz (bcoz 2 not possible when vectors are unequal) when we take all three sides of triangle in order.then their resultant is zero. ♻suppose first here if we taken third side in opposite order then resultant is R. we have taken unequal magnitude of two vectors then R is resultant.then take that resultant in order means same mag. but reversed direction. if R = 2+3 = 5 Now -R = - 5when we taken three in order effect of first two vectors (which is 5 ) cancelled by third vector (-5) .so zero resultant of three vectors in order. I HOPE YOU GOT IT WHAT I HAVE TO SAY YOU.
The minimum number of vectors of unequal magnitude required to produce...
Introduction
This question is related to the concept of vector addition and the conditions required for the resultant of multiple vectors to be zero.
Answer
The correct answer is option (b) 3 vectors.
Explanation
In order for the resultant of multiple vectors to be zero, the vectors must be arranged in a closed polygon. This means that the initial point and the terminal point of the vectors must coincide.
For example, if we have two vectors of unequal magnitude, they cannot produce a zero resultant. This is because the two vectors can only be arranged end to end, resulting in a non-zero resultant vector.
Similarly, if we have three vectors of unequal magnitude, they can be arranged in a closed polygon if their magnitudes and directions are appropriate. This means that the initial and terminal points of the vectors coincide, resulting in a zero resultant.
However, if we have more than three vectors of unequal magnitude, it is possible to arrange them in a closed polygon, but it is not necessary. It is possible to have a combination of vectors that do not form a closed polygon but still produce a zero resultant.
Hence, the minimum number of vectors required to produce a zero resultant is three.
Conclusion
In conclusion, we can say that the minimum number of vectors required to produce a zero resultant is three. This is because three vectors can be arranged in a closed polygon, resulting in a zero resultant. However, more than three vectors can also produce a zero resultant, depending on their magnitudes and directions.
To make sure you are not studying endlessly, EduRev has designed Class 11 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 11.