Which of the following is not essential for the three...

Name: Problem 14, Chapter 2: Objective Physics for NEET
Uploaded: 2021-09-02T14:46:10-08:00
Duration: 2 min 52 s
Channel: Mahendra K
Description: Which of the following is not essential for the three vectors to produce zero resultant? (a) The resultant of any two vectors should be equal and opposite to the third vector. (b) They should lie in the same plane. (c) They should act along the sides of a parallelogram. (d) It should be possible to represent them by the three sides of triangle taken in order.

Which of the following is not essential for the three vectors to produce zero resultant? (a) The resultant of any two vectors should be equal and opposite to the third vector. (b) They should lie in the same plane. (c) They should act along the sides of a parallelogram. (d) It should be possible to represent them by the three sides of triangle taken in order.

Which of the following is not essential for the three vectors to produce zero resultant?
(a) The resultant of any two vectors should be equal and opposite to the third vector.
(b) They should lie in the same plane.
(c) They should act along the sides of a parallelogram.
(d) It should be possible to represent them by the three sides of triangle taken in order.

Key Concepts

Vector Equilibrium

When three or more vectors sum to zero, they are said to be in equilibrium. This means that the forces or displacements represented by these vectors balance each other out, resulting in no net effect. Understanding equilibrium helps in analyzing the stability and balance in various physical systems.

Closed Polygon (Polygon Law)

The idea that vectors can be arranged head-to-tail to form a closed polygon is a key concept in vector addition. For three vectors, if they are placed consecutively such that their arrangement forms a closed triangle, then their net or resultant vector is zero. This principle is widely used to represent equilibrium conditions.

Coplanarity of Vectors

For three vectors to sum to zero, they must lie in the same plane. Coplanarity is an essential condition because vectors that are not in the same plane do not naturally form a closed polygon in two dimensions, thus making a zero resultant unlikely unless additional three-dimensional considerations are taken into account.

Parallelogram Law of Vector Addition

The parallelogram law is primarily used for the addition of two vectors, where the resultant is given by the diagonal of the parallelogram formed by the two vectors. While it is a fundamental method in vector addition, requiring all three vectors to act along the sides of a parallelogram is not necessary for achieving a zero resultant, making it not essential for the specific case of three vectors in equilibrium.

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