Given vectors A and B, the cross product C is defined as the vector that
1) is perpendicular to both A and B (which is what you are looking for)
2) whose magnitude is the product of the magnitudes of A and B times the sine of the angle between them.
If we write the three elements of A as A(1) A(2) A(3), and the same for B, then the components of C are
C(1)=A(2)*B(3)-A(3)*B(2);
C(2)=A(3)*B(1)-A(1)*B(3);
C(3)=A(1)*B(2)-A(2)*B(1);
Be
u - vector number one
v - vector number two
u is perpendicular to v when
the norm of u times the norm of v times cosine of the angle between the two vectors = 0.
The component of a vector x perpendicular to the vector y is x*y*sin(A) where A is the angle between the two vectors.
I think you meant to ask for finding a perpendicular vector, rather than parallel. If that is the case, the cross product of two non-parallel vectors will produce a vector which is perpendicular to both of them, unless they are parallel, which the cross product = 0. (a zero vector)
The zero vector is both parallel and perpendicular to any other vector. V.0 = 0 means zero vector is perpendicular to V and Vx0 = 0 means zero vector is parallel to V.
"Perpendicular " is a relationship, not a vector. Any vector can be perpendicular to any other vector if their angle relationship is an odd multiple of 90 degrees.
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The Resultant Vector minus the other vector
cross product of tow vector result in a vector which is perpendicular the multiplying vector then these three vector are perpedicular
The zero vector is not perpendicular to all vectors, but it is orthogonal to all vectors.
Divide the vector by it's length (magnitude).
That is not even true!
Ans :The Projections Of A Vector And Vector Components Can Be Equal If And Only If The Axes Are Perpendicular .
Given a vector, speed is the magnitude of the velocity vector, |v|. Consider vector V= IVx + JVy + KVz the magnitude is |V| = ( Vx2 + Vy2 + Vz2)1/2