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Grade 11General Physics

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.

Profile image of sai teja
11 Years agoGrade 11
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3 Answers

Profile image of Nilesh
11 Years ago
sa
Profile image of erra akhil
ApprovedApproved Tutor Answer11 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)
Profile image of erra akhil
11 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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