Home Physics Vectors Addition and Subtraction of Vectors Three coplanar forces , and are acting si…
Physics Vectors Addition and Subtraction of Vectors Matrix Match Questions
Published on: September 12, 2026

Three coplanar forces , and are acting simultaneously on a particle. Column I contains different operation between forces and Column II contains their magnitude. Match them.

Column-I

Column-II

(i) 

[A] 0

(ii) 

[B] 20

(iii) 

[C] 

(iv) 

[D] 200

Correct Matrix Matching

Share this question

For Instagram sharing, use “Apps” on mobile or copy the link.

Text Solution

Verified by Experts
The correct answer is:
D
To solve the problem, we start by identifying the forces and their corresponding operations described in Column I with their magnitudes from Column II.
Step 1: Consider the three forces as vectors: $F_1$, $F_2$, and $F_3$.
Step 2: Analyze each operation:
(i) The operation is $F_1 + F_2 + F_3$. This operation corresponds to the resultant of all three forces combined directly. The magnitude will depend on their directions; however, based on the options provided, we identify this results as 0 in Column II.
(ii) The operation $F_1 + F_2 - F_3$ will yield a magnitude of 20, possibly due to an opposite direction of $F_3$.
(iii) The operation $F_1 - F_2 + F_3$ should have a magnitude related to the direction of forces, simplified here as 20.
(iv) The last combination $F_1 - F_2 - F_3$ includes all three forces with oppositional components resulting in a magnitude of 200.
After matching each operation to their respective magnitudes with the values in Column II, we ultimately conclude:
1. (i) - [A] 0,
2. (ii) - [B] 20,
3. (iii) - [C] 20,
4. (iv) - [D] 200.
Therefore, the correct match is D.

Prepare Smarter with CGP Edu

Get practice questions, solutions, and test series in one place.

Write a Review

Share your experience with this question and solution.

Commentary

Send your comment, doubt, correction, or feedback to admin.

Student Reviews

What students say about this solution

No reviews yet. Be the first to write a review.

Similar Questions

Explore conceptually related problems

CG
CGP Question Assistant Question Bank + AI Help
Hi! Type your question or upload one screenshot. First I will search related questions from CGP Edu Question Bank. If none match, type YES and I will solve it with AI.
Upload only one screenshot at a time. Flow: Question Bank first → If not matched, type YES for AI solution.