Why was the cross product defined to give a perpendicular vector?
Why is the cross product of two vectors perpendicular to the plane they reside in?
What is the unit vector perpendicular to the following vectors: 2i+2j-k and 6i-3j+2k? How can you visualise a vector cross product in two dimensions? For Dim=3 axb is perpendicular to a and b so how can this work in Dim=2?) How do I find the cross product of 2 row vectors? If two vectors of equal magnitude add to either of them by magnitude what is the angle between them? Why are electric field vectors tangent to the electric field lines? If A and B are two vectors, what is the angle between (A + B) and (A × B)? I want to know how calculate the angle between two vectors and both are not in same plane, which means that they don't intersect at any point? Explain the triangle law of vectors? How do I prove that two vectors are parallel or not? Explain with an example. What are vectors and the laws of physics? If A and B are two vectors, what is the angle between (A+B) and (A-B)? What do dot and cross vector products actually mean? What is the proof for triangular law of vectors? What is the triangular law of vectors? The subtraction of two vectors is also a unit vector. What is the angle between the first two vectors? Is the cross product of (AB x (AB x OC)) equal to OC, where AB, and OC are non-parallel vectors? Find perpendicular unit vectors I, J, K different from I,j, k? If 2 sides of a triangle are described by 2 vectors a and b, how does one work out what vector defines the third side? Is it true that vectors have only direction not magnitude? What is the physical significance of vector triple product? How do I visualise dot & cross product in vectors? Why do complementary angles have to be adjacent? In a right-angle triangle, perpendicular is 3^1/2 times the base. What is ratio of their opposite angles? How does one describe the plane made by two lines which intersect a particular point on a doubly ruled surface? I've seen vectors described as direction and magnitude, and also as a one dimensional matrix. Are these concepts somehow related, or merely homonyms? Two equal forces act at a point the square of their resultant is three times their product find the angle between them? How do I find an angle between two vectors? What will b angle b/w two vector of equal magnitude when the magnitude of their resultant is Also equal to the magnitude of either of these vectors? How do I express vectors in inertial and rotating vector? How do I find the angle between two vectors of equal magnitude?