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If r is the distance of a point (x, y, z) from the origin, the value of the expression jx grad equals
( (x ^ 2 + y ^ 2 + z ^ 2) ^ (3/2) ( overline j x- hat k x)
( (x ^ 2 + y ^ 2 + z ^ 2) ^ (3/2) (x- overline i z)
(iii) zero
(M) (x ^ 2 + y ^ 2 + x ^ 2) ^ (3/2) ( hat j y- hat k x)?
( (x ^ 2 + y ^ 2 + z ^ 2) ^ (3/2) ( overline j x- hat k x)
( (x ^ 2 + y ^ 2 + z ^ 2) ^ (3/2) (x- overline i z)
(iii) zero
(M) (x ^ 2 + y ^ 2 + x ^ 2) ^ (3/2) ( hat j y- hat k x)?
Most Upvoted Answer
If r is the distance of a point (x, y, z) from the origin, the value o...
Explanation of the given expression:
- Expression breakdown:
- The given expression involves the distance of a point (x, y, z) from the origin, which is represented by r.
- The expression includes terms like x, y, z, and unit vectors i, j, k.
- Calculation:
- The expression involves the cross product of vectors and the magnitude of the vector (x, y, z).
- By simplifying the expression and using the properties of vectors, we can calculate the final value.
- Make sure to apply the correct operations and follow the order of operations in vector calculations.
- Final result:
- After simplifying and calculating the given expression, the result should be a scalar value which represents the distance of the point (x, y, z) from the origin.
- Importance of the result:
- The final result of the expression gives us insight into the spatial relationship between the point (x, y, z) and the origin.
- Understanding the distance and direction of a point in space is crucial in various applications of physics and engineering.
- Conclusion:
- By carefully analyzing and calculating the given expression, we can determine the distance of a point from the origin in a 3-dimensional space. This knowledge is essential in solving problems related to vectors and spatial geometry.
- Expression breakdown:
- The given expression involves the distance of a point (x, y, z) from the origin, which is represented by r.
- The expression includes terms like x, y, z, and unit vectors i, j, k.
- Calculation:
- The expression involves the cross product of vectors and the magnitude of the vector (x, y, z).
- By simplifying the expression and using the properties of vectors, we can calculate the final value.
- Make sure to apply the correct operations and follow the order of operations in vector calculations.
- Final result:
- After simplifying and calculating the given expression, the result should be a scalar value which represents the distance of the point (x, y, z) from the origin.
- Importance of the result:
- The final result of the expression gives us insight into the spatial relationship between the point (x, y, z) and the origin.
- Understanding the distance and direction of a point in space is crucial in various applications of physics and engineering.
- Conclusion:
- By carefully analyzing and calculating the given expression, we can determine the distance of a point from the origin in a 3-dimensional space. This knowledge is essential in solving problems related to vectors and spatial geometry.
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If r is the distance of a point (x, y, z) from the origin, the value of the expression jx grad equals( (x ^ 2 + y ^ 2 + z ^ 2) ^ (3/2) ( overline j x- hat k x)( (x ^ 2 + y ^ 2 + z ^ 2) ^ (3/2) (x- overline i z)(iii) zero(M) (x ^ 2 + y ^ 2 + x ^ 2) ^ (3/2) ( hat j y- hat k x)?
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If r is the distance of a point (x, y, z) from the origin, the value of the expression jx grad equals( (x ^ 2 + y ^ 2 + z ^ 2) ^ (3/2) ( overline j x- hat k x)( (x ^ 2 + y ^ 2 + z ^ 2) ^ (3/2) (x- overline i z)(iii) zero(M) (x ^ 2 + y ^ 2 + x ^ 2) ^ (3/2) ( hat j y- hat k x)? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about If r is the distance of a point (x, y, z) from the origin, the value of the expression jx grad equals( (x ^ 2 + y ^ 2 + z ^ 2) ^ (3/2) ( overline j x- hat k x)( (x ^ 2 + y ^ 2 + z ^ 2) ^ (3/2) (x- overline i z)(iii) zero(M) (x ^ 2 + y ^ 2 + x ^ 2) ^ (3/2) ( hat j y- hat k x)? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If r is the distance of a point (x, y, z) from the origin, the value of the expression jx grad equals( (x ^ 2 + y ^ 2 + z ^ 2) ^ (3/2) ( overline j x- hat k x)( (x ^ 2 + y ^ 2 + z ^ 2) ^ (3/2) (x- overline i z)(iii) zero(M) (x ^ 2 + y ^ 2 + x ^ 2) ^ (3/2) ( hat j y- hat k x)?.
If r is the distance of a point (x, y, z) from the origin, the value of the expression jx grad equals( (x ^ 2 + y ^ 2 + z ^ 2) ^ (3/2) ( overline j x- hat k x)( (x ^ 2 + y ^ 2 + z ^ 2) ^ (3/2) (x- overline i z)(iii) zero(M) (x ^ 2 + y ^ 2 + x ^ 2) ^ (3/2) ( hat j y- hat k x)? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about If r is the distance of a point (x, y, z) from the origin, the value of the expression jx grad equals( (x ^ 2 + y ^ 2 + z ^ 2) ^ (3/2) ( overline j x- hat k x)( (x ^ 2 + y ^ 2 + z ^ 2) ^ (3/2) (x- overline i z)(iii) zero(M) (x ^ 2 + y ^ 2 + x ^ 2) ^ (3/2) ( hat j y- hat k x)? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If r is the distance of a point (x, y, z) from the origin, the value of the expression jx grad equals( (x ^ 2 + y ^ 2 + z ^ 2) ^ (3/2) ( overline j x- hat k x)( (x ^ 2 + y ^ 2 + z ^ 2) ^ (3/2) (x- overline i z)(iii) zero(M) (x ^ 2 + y ^ 2 + x ^ 2) ^ (3/2) ( hat j y- hat k x)?.
Solutions for If r is the distance of a point (x, y, z) from the origin, the value of the expression jx grad equals( (x ^ 2 + y ^ 2 + z ^ 2) ^ (3/2) ( overline j x- hat k x)( (x ^ 2 + y ^ 2 + z ^ 2) ^ (3/2) (x- overline i z)(iii) zero(M) (x ^ 2 + y ^ 2 + x ^ 2) ^ (3/2) ( hat j y- hat k x)? in English & in Hindi are available as part of our courses for Physics.
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