No.
If they add together to get a vector of length zero they should make a triangle of loading.
The sides 1 m, 2 m and 4 m will not make a triangle since the sum of 1 and 2 is less than 4.
In the given figure a+b < c , so they make a triangle.
Here this condition is not satisfied.
The three displacement vectors cannot be added together to obtain the length equal to zero.
Explanation:
The displacement of the particle is defined as the minimum possible distance between the initial and the final position of the object. The displacement of the object is considered to be a vector quantity because it requires the direction as well as the magnitude for its complete representation.
Since the displacement is a vector quantity, in order to add the displacement, it should follow the triangle law of vector addition. In order to obtain the zero resultant of the three displacement vectors, the vectors should form a triangle and each vector should represent the one side of the triangle.
In order to form the triangle, the three sides should follow the rule that the sum of two smaller sides should be greater than the third side. In the given case, the sum of the two smaller sides of the triangle is [tex]3[/tex] whereas the third side is greater than the sum.
It means that a triangle is not possible with these three displacement vectors. Therefore, they cannot be added to obtain a zero resultant by adding these three vectors.
Thus, The three displacement vectors cannot be added together to obtain the length equal to zero.
Learn More:
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2. Which of the following is not a component of a lever brainly.com/question/1073452
3. Find an expression for the acceleration a of the red block after it is released brainly.com/question/6088121
Answer Details:
Grade: Senior School
Subject: Physics
Chapter: Scalars and vectors
Keywords:
displacement, vector, magnitude, direction, zero, resultant, triangle, addition, smaller side, initial, final.
