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Minimum number of two coplanar vectors...

Minimum number of two coplanar vectors of equal magnitude whose vectors sum could be zero, is:

A

2

B

3

C

4

D

6

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The correct Answer is:
To solve the question, we need to determine the minimum number of two coplanar vectors of equal magnitude whose vector sum could be zero. ### Step-by-Step Solution: 1. **Understanding Vector Addition**: - For two vectors to sum to zero, they must be equal in magnitude but opposite in direction. 2. **Considering Two Vectors**: - Let's denote the two vectors as **A** and **B**. If both vectors have the same magnitude but are in opposite directions, we can express this mathematically as: - **A = +V** (in one direction) - **B = -V** (in the opposite direction) 3. **Calculating the Sum**: - The vector sum of **A** and **B** can be calculated as: - **A + B = V + (-V) = 0** - This shows that the sum of these two vectors is indeed zero. 4. **Conclusion**: - Since we can achieve a zero vector sum with just two vectors of equal magnitude and opposite direction, the minimum number of vectors required is **2**. ### Final Answer: The minimum number of two coplanar vectors of equal magnitude whose vector sum could be zero is **2**.

To solve the question, we need to determine the minimum number of two coplanar vectors of equal magnitude whose vector sum could be zero. ### Step-by-Step Solution: 1. **Understanding Vector Addition**: - For two vectors to sum to zero, they must be equal in magnitude but opposite in direction. 2. **Considering Two Vectors**: ...
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GRB PUBLICATION-VECTORS-OBJECTIVE QUESTIONS
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  3. Minimum number of two coplanar vectors of equal magnitude whose v...

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  4. Assertion: The minimum number of non-coplanar Vectors whose sum can be...

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  5. In Fig. 3.52, D is the mid-point of vecBC Which of the following re...

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  8. vecA, vecB and vecC are vectors such that vecC= vecA + vecB and vecC...

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  9. A person walks along the path shown in Fig. 3.53. The path from B...

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  14. vecA and vecB and vectors expressed as vecA = 2hati + hatj and vecB = ...

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  15. The vector area of triangle position vectors of whose vertices are vec...

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  16. Area of the parallelogram formed by vectors vecA = hati + 2hatj+ 4 ...

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  18. Find the torque of a force vecF= -3hati+hatj+5hatk acting at the poin...

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  19. vecR is the resultant of vecA and vecB . vecR is inclined to vecA a...

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  20. Projection of 2hati + 6hatj on Z-axis is :

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