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Hii... Any one of you guys can explain about dot product and cross product of vectors. And please suggest good books for basic concepts of physics at IIT level.

Hii... Any one of you guys can explain about dot product and cross product of vectors. And please suggest good books for basic concepts of physics at IIT level.

Grade:11

3 Answers

Nilesh
29 Points
8 years ago
sa
erra akhil
208 Points
8 years ago
Dear     ,
DOT PRODUCT of 2 vectors.
1.)It gives a sclar.
2.)Magnitude of dot product is equal to product of magnitude of two vectors and the cosine of angle between them.
Example:- Let A and B be two vectors with angle between them equal to θ.
A.B=(magnitude of A)(Magnitude of B)(cosθ)
erra akhil
208 Points
8 years ago
Cross Product:-
1.)Vector product of 2 vectors gives a vector.
2.)The resultant product vector of 2 vectors is in the direction perpendicular to the plane in which the given vectors are present.
3.)Magnitude of cross product of  2 vector is the product of magnitude of 2 vectors and the sine of angle between them.
Example:-
If A and  B are two vectors, 
A = a1 i + a2 j + a3 k
B = b1 i + b2 j + b3 k
magnitude of A*B=(magnitude of A)(Magnitude of B)(sin θ)
A*B=
| i        j      k |
| a1     a2    a3 |
| b1    b2    b3|
i,j,k are components of A and B along x,y,z axes
Approve if my answer helped you
        
          

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