what is Resolution of vectors?
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Resolution of vector means Effects of single vector in Different direction...it means when we resolve the vector , we actually check its effect in different direction...It is just an opposite of calculating Resultant of a vector...Resultant is a sum of all the vectors...
But if we split the same Resultant vector into its Components ( Parts )...then we say Resolving vector into its components...
A vector may have two or more components on resolving...Sometime we need only one of its components for solving problems...
To resolve a vector into its components we use parallelogram law of forces...
Hope this help.......
But if we split the same Resultant vector into its Components ( Parts )...then we say Resolving vector into its components...
A vector may have two or more components on resolving...Sometime we need only one of its components for solving problems...
To resolve a vector into its components we use parallelogram law of forces...
Hope this help.......
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GovindRavi:
Thnx..n welcome... :)
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Hi,
Here is your answer,
RESOLUTION OF VECTORS
Any vector quantity can be represented as sum of two or three vectors which can be called components of vectors.
Example:- A body is projected obliquely with a velocity V ms⁻¹ at an angle 'θ' with horizontal plane it will travel in a parabolic path and then returns to plane. A part of the vectors acts along x-axis and another part acts along y-axis. Now, here we can say that 'x' component of velocity vector is responsible for displacement along x axis and y axis component of the vector is responsible for displacement along y-axis.
Now. have a look on the figure we can understand that Vx and Vy are horizontal and vertical component of the vector.
Vx = v cosθ ; Vy = v sinθ
If we have a vector in space we can also define 'z' component of the vector. For given set of axis a vector quantity can have maximum number of three components. Now, we can conclude that vector quantity can have infinite numbers of sets of rectangular components if we do pertain to a single set of axes.
If x is the magnitude in x direction ----> i to the power of n is the unit vector.
NOTE:- Further explanation is not required if you still need further explanation then do let me know. That will of higher order IIT mains. What i haven given is only based on CBSE Pattern Explanation.
Hope it helps you !
Here is your answer,
RESOLUTION OF VECTORS
Any vector quantity can be represented as sum of two or three vectors which can be called components of vectors.
Example:- A body is projected obliquely with a velocity V ms⁻¹ at an angle 'θ' with horizontal plane it will travel in a parabolic path and then returns to plane. A part of the vectors acts along x-axis and another part acts along y-axis. Now, here we can say that 'x' component of velocity vector is responsible for displacement along x axis and y axis component of the vector is responsible for displacement along y-axis.
Now. have a look on the figure we can understand that Vx and Vy are horizontal and vertical component of the vector.
Vx = v cosθ ; Vy = v sinθ
If we have a vector in space we can also define 'z' component of the vector. For given set of axis a vector quantity can have maximum number of three components. Now, we can conclude that vector quantity can have infinite numbers of sets of rectangular components if we do pertain to a single set of axes.
If x is the magnitude in x direction ----> i to the power of n is the unit vector.
NOTE:- Further explanation is not required if you still need further explanation then do let me know. That will of higher order IIT mains. What i haven given is only based on CBSE Pattern Explanation.
Hope it helps you !
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Good job Pratham!! :D
Thank you Shreya :)
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