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Simple Vector questions For isc exams class xi

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abhas
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PostSubject: Simple Vector questions For isc exams class xi CLASS - Simple Vector questions For isc exams class xi EmptyThu Jul 10, 2008 12:58 pm

wat is displacement vector 4rm point A(1,1,1) 2 point B(-1,-1,-1)?

SOL.
AB^ = OB^ - OA^
AB^ = ( -i -j -k ) - ( i + j + k )
AB^ = -2i -2j -2k



Cross product
The direction of A cross B is perpendicular to plane of AB and is given by right hand rule (If you role your fingers of right hand from A to B then direction of A cross B will be along your thumb)
If x, y z component of A and B are Ax, Ay,Az and Bx, By and Bz theb
A cross B = det( i j k
Ax Ay Az
Bx By Bz)


whats value of (a cross b). a (its dot after bracket)

Sol.
0
axb is perpendicular to a and b both
and dot product of 2 perpendicular vectors is 0


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