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The resultant of two vectors A and vector B has magnitude 2N. The magnitude of vector A is 2√3N and it makes an angle of 30 degree with the resultant. Find the magnitude of vector B(in Newton).?
Most Upvoted Answer
The resultant of two vectors A and vector B has magnitude 2N. The magn...
Given:
Magnitude of resultant vector = 2N
Magnitude of vector A = 2√3N
Angle between vector A and resultant vector = 30 degrees
To find:
Magnitude of vector B
Solution:
Let the magnitude of vector B be x.
Since the resultant vector is the sum of vector A and vector B, we can use the Pythagorean theorem to find the magnitude of the resultant vector.
According to the Pythagorean theorem,
(Resultant vector)^2 = (Vector A)^2 + (Vector B)^2
(2N)^2 = (2√3N)^2 + x^2
4N^2 = 12N^2 + x^2
x^2 = 4N^2 - 12N^2 = -8N^2
Since the magnitude of a vector cannot be negative, there is no solution for x.
Hence, there is no magnitude of vector B that can satisfy the given conditions.
Therefore, the answer is undefined.
Magnitude of resultant vector = 2N
Magnitude of vector A = 2√3N
Angle between vector A and resultant vector = 30 degrees
To find:
Magnitude of vector B
Solution:
Let the magnitude of vector B be x.
Since the resultant vector is the sum of vector A and vector B, we can use the Pythagorean theorem to find the magnitude of the resultant vector.
According to the Pythagorean theorem,
(Resultant vector)^2 = (Vector A)^2 + (Vector B)^2
(2N)^2 = (2√3N)^2 + x^2
4N^2 = 12N^2 + x^2
x^2 = 4N^2 - 12N^2 = -8N^2
Since the magnitude of a vector cannot be negative, there is no solution for x.
Hence, there is no magnitude of vector B that can satisfy the given conditions.
Therefore, the answer is undefined.
Community Answer
The resultant of two vectors A and vector B has magnitude 2N. The magn...
Answer- 2N
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The resultant of two vectors A and vector B has magnitude 2N. The magnitude of vector A is 2√3N and it makes an angle of 30 degree with the resultant. Find the magnitude of vector B(in Newton).?
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The resultant of two vectors A and vector B has magnitude 2N. The magnitude of vector A is 2√3N and it makes an angle of 30 degree with the resultant. Find the magnitude of vector B(in Newton).? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The resultant of two vectors A and vector B has magnitude 2N. The magnitude of vector A is 2√3N and it makes an angle of 30 degree with the resultant. Find the magnitude of vector B(in Newton).? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The resultant of two vectors A and vector B has magnitude 2N. The magnitude of vector A is 2√3N and it makes an angle of 30 degree with the resultant. Find the magnitude of vector B(in Newton).?.
The resultant of two vectors A and vector B has magnitude 2N. The magnitude of vector A is 2√3N and it makes an angle of 30 degree with the resultant. Find the magnitude of vector B(in Newton).? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The resultant of two vectors A and vector B has magnitude 2N. The magnitude of vector A is 2√3N and it makes an angle of 30 degree with the resultant. Find the magnitude of vector B(in Newton).? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The resultant of two vectors A and vector B has magnitude 2N. The magnitude of vector A is 2√3N and it makes an angle of 30 degree with the resultant. Find the magnitude of vector B(in Newton).?.
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