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The sum of two vectors is 18 unit and smaller one has magnitude 5 unit .if the resultant is at 90 with smaller vector then the magnitude of their resultant is?
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The sum of two vectors is 18 unit and smaller one has magnitude 5 unit...
Explanation:
Let's assume that the smaller vector has magnitude 5 unit and the larger vector has magnitude x unit.
The sum of the two vectors is 18 unit, so we can write:
5 + x = 18
Solving for x, we get:
x = 13
So, the magnitude of the larger vector is 13 unit.
Now, we know that the resultant is at 90° with the smaller vector. This means that the two vectors are perpendicular to each other and we can use the Pythagorean theorem to find the magnitude of their resultant.
The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, the two sides are the smaller vector with magnitude 5 unit and the larger vector with magnitude 13 unit. Let's call the magnitude of the resultant R. Then we have:
R² = 5² + 13²
R² = 194
R = √194
So, the magnitude of the resultant is √194 unit.
Let's assume that the smaller vector has magnitude 5 unit and the larger vector has magnitude x unit.
The sum of the two vectors is 18 unit, so we can write:
5 + x = 18
Solving for x, we get:
x = 13
So, the magnitude of the larger vector is 13 unit.
Now, we know that the resultant is at 90° with the smaller vector. This means that the two vectors are perpendicular to each other and we can use the Pythagorean theorem to find the magnitude of their resultant.
The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, the two sides are the smaller vector with magnitude 5 unit and the larger vector with magnitude 13 unit. Let's call the magnitude of the resultant R. Then we have:
R² = 5² + 13²
R² = 194
R = √194
So, the magnitude of the resultant is √194 unit.
Community Answer
The sum of two vectors is 18 unit and smaller one has magnitude 5 unit...
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The sum of two vectors is 18 unit and smaller one has magnitude 5 unit .if the resultant is at 90 with smaller vector then the magnitude of their resultant is?
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The sum of two vectors is 18 unit and smaller one has magnitude 5 unit .if the resultant is at 90 with smaller vector then the magnitude of their resultant is? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The sum of two vectors is 18 unit and smaller one has magnitude 5 unit .if the resultant is at 90 with smaller vector then the magnitude of their resultant is? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of two vectors is 18 unit and smaller one has magnitude 5 unit .if the resultant is at 90 with smaller vector then the magnitude of their resultant is?.
The sum of two vectors is 18 unit and smaller one has magnitude 5 unit .if the resultant is at 90 with smaller vector then the magnitude of their resultant is? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The sum of two vectors is 18 unit and smaller one has magnitude 5 unit .if the resultant is at 90 with smaller vector then the magnitude of their resultant is? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of two vectors is 18 unit and smaller one has magnitude 5 unit .if the resultant is at 90 with smaller vector then the magnitude of their resultant is?.
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