What is meant by resolution of vector ? Can a vector be zero if one of its components is not zero?
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ANSWER IS HERE
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Can a vector be zero when one of its components is not zero while all other components are zero?
No. To be a zero vector all the components of the vector need to be zero. A zero vector has magnitude zero.
Let A be a vector with Cartesian components ( a,b, c)
Then ( using bold face for a vector, i, j, k are unit vectors along the X-, Y- and Z- axes)
A = a i + b j + c k, then | A |= [ A² ]½= (a² + b² + c² )½. Now for magnitude of vector A to be zero, each and everyone of its components needs to zero, otherwise |A| is not going to be zero.
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MRK AS BRANLIST
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= = = = = = = = = = = = =
Can a vector be zero when one of its components is not zero while all other components are zero?
No. To be a zero vector all the components of the vector need to be zero. A zero vector has magnitude zero.
Let A be a vector with Cartesian components ( a,b, c)
Then ( using bold face for a vector, i, j, k are unit vectors along the X-, Y- and Z- axes)
A = a i + b j + c k, then | A |= [ A² ]½= (a² + b² + c² )½. Now for magnitude of vector A to be zero, each and everyone of its components needs to zero, otherwise |A| is not going to be zero.
= = = = = = = = = = = = = = = = = = = = = = = = = = =
MRK AS BRANLIST
= = = = = = = = = = = = =
♡♡♡♡♡♡♡♡♡♡♡♡♡
Answered by
1
the resolution of a vector in two mutually perpendicular vector is called rectangular resolution.yes
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