Question

The magnitudes of three vectors are 2 m, 3m and 5m respectively the direction are at your disposal can these three vectors be added to yield zero illustrate with diagram

Answer 1

Given:

The magnitudes of three vectors are 2 m, 3m and 5m respectively.

To find:

Diagram representing these vector such that the resultant vector will be zero.

Solution:

Always remember the following thumb-rule:

• Three vectors can have a resultant of zero when they can be expressed in the form of a triangle (according to Triangle Rule of Vectors)

• And in order to construct a triangle, sum of two sides must be greater than the third side.

So, let's check the 2nd step using the vectors and try to construct a triangle with sides 2 , 3 and 5:

$1) \: 3 + 5 > 2$

$2) \: 5 + 2 > 3$

$3) \: 2 + 3 = 5$

So, triangle construction is not possible since sum of two sides is not greater than the third side in one case.

So, these vectors will never give zero resultant.

Answer 2

Explanation:

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