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Minimum numbers of unequal vectors which can give zero resultant are -
  • a)
    Two
  • b)
    Three  
  • c)
    Four
  • d)
    More than four 
Correct answer is option 'B'. Can you explain this answer?
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Minimum numbers of unequal vectors which can give zero resultant are -...
Minimum number of unequal vectors which can give three zero resultants.
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Minimum numbers of unequal vectors which can give zero resultant are -...
Explanation:
When two vectors are added, they can either give zero or a resultant vector. However, when three or more vectors are added, they can never give zero as the resultant vector. Let's understand why:

Two vectors:
When two vectors are added, they can either give zero or a resultant vector. If the two vectors are of the same magnitude and opposite in direction, they will give a resultant vector of zero. For example, if two forces of 5 N each are applied in opposite directions, they will cancel out each other and the net force will be zero.

Three vectors:
When three vectors are added, they can never give zero as the resultant vector. The reason is that three vectors can form a triangle, and the sum of any two sides of a triangle is always greater than the third side. Therefore, there will always be a resultant vector when three vectors are added.

Four or more vectors:
When four or more vectors are added, they can never give zero as the resultant vector. The reason is that four or more vectors can form a polygon, and the sum of any two sides of a polygon is always greater than the third side. Therefore, there will always be a resultant vector when four or more vectors are added.

Therefore, the minimum number of unequal vectors which can give zero resultant are two.
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DIRECTIONS: In each of the following question, two rows of numbers are given. The resultant number in each row is to be worked out separately based on the following rules and the questions below the rows of numbers are to be answered. The operations of numbers progress from the left to the right.Rules: (i) If an odd number is followed by another composite odd number, they are to be added. (ii) If an even number is followed by an odd number they are to be added. (iii) If an even number is followed by a number which is the perfect square, the even number is to be subtracted from the perfect square. (iv) If an odd number is followed by a prime odd number, the first number is to be divided by' the second number. (v) If an odd number is followed by an even number, the second one is to be subtracted from the first number.If r is the resultant of the first row, what will be the resultant of the second row?

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Minimum numbers of unequal vectors which can give zero resultant are -a)Twob)Three c)Fourd)More than fourCorrect answer is option 'B'. Can you explain this answer?
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