The vector sum of the forces 10N and 6N can be - (a) 2N (b) 8N (c) 18N (d) 20N

By Ritesh|Updated : November 9th, 2022

The vector sum of the forces 10N and 6N can be 8N. Steps to calculate the vector sum of the forces:

Given forces are 10 N and 6 N:

So,

Minimum resultant magnitude of the vectors = 10 - 6 = 4N

Maximum resultant magnitude of the vectors = 10 + 6 = 16N

Depending on the angle between them, the vector sum can range from 4 to 16.

Only 8 N is possible from the options provided.

Vector Addition

The addition of two or more vectors is referred to as vector addition. Vector addition is divided into two categories based on the direction of the vector. These are

  1. Triangular law of vector addition
  2. Parallelogram law of vector addition

The vector addition method is chosen based on the arrangement of the heads and tails of the vectors.

  • The triangle law of vector addition is applied when two vectors are positioned head to tail.
  • The parallelogram law of vector addition is applied whenever two vectors are oriented head to head or tail to tail.

Importance of Vector Addition

Force is an example of a vector quantity in physics that interacts with other vector quantities to have an effect on the objects it is applied to. Since the effects of each of these forces are taken into account when determining the nature of the system's motion, operations like addition, subtraction, and multiplication must be performed on these forces in order to determine the result of these forces.

Summary:

The vector sum of the forces 10N and 6N can be -(a) 2N(b) 8N(c) 18N(d) 20N

The vector sum of the forces 10N and 6N can be 8N. The addition of two vectors is of two types i.e. triangular law of vector addition and the parallelogram law of vector addition.

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