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at what angle the two vectors of magnitude (p+Q) and (p-Q) should act so that their resultant is
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at what angle the two vectors of magnitude (p+Q) and (p-Q) should act ...
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at what angle the two vectors of magnitude (p+Q) and (p-Q) should act ...
Analysis of Vectors (p+Q) and (p-Q)
To find the angle at which the two vectors of magnitude (p+Q) and (p-Q) should act in order to produce a resultant, we can use vector addition.
Vector Addition
When two vectors are added, the resultant vector is the vector sum of the two individual vectors.
Let vector A = (p+Q) and vector B = (p-Q).
The resultant vector R is given by R = A + B.
Resultant Vector Calculation
To find the magnitude of the resultant vector R, we use the formula:
|R| = sqrt((p+Q)^2 + (p-Q)^2 + 2(p+Q)(p-Q)cosθ)
where θ is the angle between the two vectors.
Optimal Angle Calculation
To find the angle θ at which the resultant vector is maximum or minimum, we take the derivative of the magnitude of the resultant vector with respect to θ and set it equal to zero.
By solving this equation, we can determine the optimal angle at which the two vectors should act to produce the maximum or minimum resultant.
Therefore, by analyzing the vectors (p+Q) and (p-Q) using vector addition and calculating the magnitude of the resultant vector, we can determine the angle at which the two vectors should act to produce the desired resultant.
To find the angle at which the two vectors of magnitude (p+Q) and (p-Q) should act in order to produce a resultant, we can use vector addition.
Vector Addition
When two vectors are added, the resultant vector is the vector sum of the two individual vectors.
Let vector A = (p+Q) and vector B = (p-Q).
The resultant vector R is given by R = A + B.
Resultant Vector Calculation
To find the magnitude of the resultant vector R, we use the formula:
|R| = sqrt((p+Q)^2 + (p-Q)^2 + 2(p+Q)(p-Q)cosθ)
where θ is the angle between the two vectors.
Optimal Angle Calculation
To find the angle θ at which the resultant vector is maximum or minimum, we take the derivative of the magnitude of the resultant vector with respect to θ and set it equal to zero.
By solving this equation, we can determine the optimal angle at which the two vectors should act to produce the maximum or minimum resultant.
Therefore, by analyzing the vectors (p+Q) and (p-Q) using vector addition and calculating the magnitude of the resultant vector, we can determine the angle at which the two vectors should act to produce the desired resultant.
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at what angle the two vectors of magnitude (p+Q) and (p-Q) should act so that their resultant is Related: Projectile Motion (Part - 1) - Physics, Solution by DC Pandey? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about at what angle the two vectors of magnitude (p+Q) and (p-Q) should act so that their resultant is Related: Projectile Motion (Part - 1) - Physics, Solution by DC Pandey? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for at what angle the two vectors of magnitude (p+Q) and (p-Q) should act so that their resultant is Related: Projectile Motion (Part - 1) - Physics, Solution by DC Pandey?.
at what angle the two vectors of magnitude (p+Q) and (p-Q) should act so that their resultant is Related: Projectile Motion (Part - 1) - Physics, Solution by DC Pandey? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about at what angle the two vectors of magnitude (p+Q) and (p-Q) should act so that their resultant is Related: Projectile Motion (Part - 1) - Physics, Solution by DC Pandey? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for at what angle the two vectors of magnitude (p+Q) and (p-Q) should act so that their resultant is Related: Projectile Motion (Part - 1) - Physics, Solution by DC Pandey?.
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