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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Answer:
Vectors can be multiplied in two ways, a scalar product where the result is a scalar and cross or vector product where is the result is a vector. In this article, we will look at the cross or vector product of two vectors.We have already studied the three-dimensional right-handed rectangular coordinate system. As shown in the figure below, when the positive x-axis is rotated counter-clockwise into the positive y-axis, then a right-handed standard screw moves in the direction of the positive z-axis.
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