Mechanical Engineering Exam > Mechanical Engineering Questions > All the vectors quantities obey:a)Parallelogr...
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All the vectors quantities obey:
- a)Parallelogram law of addition
- b)Parallelogram law of multiplication
- c)Parallelogram law of addition of square root of their magnitudes
- d)Parallelogram law of addition of square of their magnitudes
Correct answer is option 'A'. Can you explain this answer?
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All the vectors quantities obey:a)Parallelogram law of additionb)Paral...
All the vectors quantities obey parallelogram law of addition. Two vectors A and B (can be called as component vectors) are added to form a resultant vector. R = A+B.
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All the vectors quantities obey:a)Parallelogram law of additionb)Paral...
Vectors are an important concept in mathematics and physics. They represent quantities that have both magnitude and direction. There are several laws that govern the behavior of vectors, including the parallelogram law of addition.
Parallelogram Law of Addition
The parallelogram law of addition states that if two vectors are represented by two adjacent sides of a parallelogram, then the diagonal of the parallelogram represents the resultant of the two vectors.
This law can be used to add two vectors that are not perpendicular to each other. To add two vectors using the parallelogram law of addition, follow these steps:
1. Draw the two vectors as two adjacent sides of a parallelogram.
2. Draw the diagonal of the parallelogram.
3. The diagonal represents the resultant of the two vectors.
This law is important because it allows us to add vectors that are not perpendicular to each other. It is also useful in physics, where vectors are often used to represent forces, velocities, and other quantities.
Other Options
The other options given in the question - parallelogram law of multiplication, parallelogram law of addition of square root of their magnitudes, and parallelogram law of addition of square of their magnitudes - are not valid laws governing the behavior of vectors.
Parallelogram law of multiplication is not a valid law because there is no concept of multiplication of vectors in this way.
Parallelogram law of addition of square root of their magnitudes and parallelogram law of addition of square of their magnitudes are also not valid laws. These concepts do not exist in vector algebra, and therefore cannot be used to describe the behavior of vectors.
Parallelogram Law of Addition
The parallelogram law of addition states that if two vectors are represented by two adjacent sides of a parallelogram, then the diagonal of the parallelogram represents the resultant of the two vectors.
This law can be used to add two vectors that are not perpendicular to each other. To add two vectors using the parallelogram law of addition, follow these steps:
1. Draw the two vectors as two adjacent sides of a parallelogram.
2. Draw the diagonal of the parallelogram.
3. The diagonal represents the resultant of the two vectors.
This law is important because it allows us to add vectors that are not perpendicular to each other. It is also useful in physics, where vectors are often used to represent forces, velocities, and other quantities.
Other Options
The other options given in the question - parallelogram law of multiplication, parallelogram law of addition of square root of their magnitudes, and parallelogram law of addition of square of their magnitudes - are not valid laws governing the behavior of vectors.
Parallelogram law of multiplication is not a valid law because there is no concept of multiplication of vectors in this way.
Parallelogram law of addition of square root of their magnitudes and parallelogram law of addition of square of their magnitudes are also not valid laws. These concepts do not exist in vector algebra, and therefore cannot be used to describe the behavior of vectors.
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All the vectors quantities obey:a)Parallelogram law of additionb)Parallelogram law of multiplicationc)Parallelogram law of addition of square root of their magnitudesd)Parallelogram law of addition of square of their magnitudesCorrect answer is option 'A'. Can you explain this answer?
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All the vectors quantities obey:a)Parallelogram law of additionb)Parallelogram law of multiplicationc)Parallelogram law of addition of square root of their magnitudesd)Parallelogram law of addition of square of their magnitudesCorrect answer is option 'A'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about All the vectors quantities obey:a)Parallelogram law of additionb)Parallelogram law of multiplicationc)Parallelogram law of addition of square root of their magnitudesd)Parallelogram law of addition of square of their magnitudesCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for All the vectors quantities obey:a)Parallelogram law of additionb)Parallelogram law of multiplicationc)Parallelogram law of addition of square root of their magnitudesd)Parallelogram law of addition of square of their magnitudesCorrect answer is option 'A'. Can you explain this answer?.
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