Write a short note on vector product between two vectors.
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1) Let there be two vectors A and B, then Vector Product (Cross -Product) is given by
A x B = |A| |B| sin(a) n
where (a) is angle between A and B.
n --> unit vector perpendicular to A and B.
2) Let there be vector C such that
C = A x B
then, C is perpendicular to both A and B.
3) Let there be unit vectors I, j, k perpendicular to each other in Cartesian Co-ordinate System.
Then,
i x i = 0
j x j = 0
k x k =0
And,
i x j = k
j x k = i
k x i = j
For Pic See Attachment.
A x B = |A| |B| sin(a) n
where (a) is angle between A and B.
n --> unit vector perpendicular to A and B.
2) Let there be vector C such that
C = A x B
then, C is perpendicular to both A and B.
3) Let there be unit vectors I, j, k perpendicular to each other in Cartesian Co-ordinate System.
Then,
i x i = 0
j x j = 0
k x k =0
And,
i x j = k
j x k = i
k x i = j
For Pic See Attachment.
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Explanation:
The vector product of two vectors is a vector perpendicular to both of them. Its magnitude is obtained by multiplying their magnitudes by the sine of the angle between them. The direction of the vector product can be determined by the corkscrew right-hand rule.
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