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horsegirl09
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If vectors V_1 and V_2 are perpendicular, lV_1 x V_2l =? I know that if they are parallel for vector cross product, they equal 0.
The cross product is a vector perpendicular to V_1 and V_2. Also V_1 and V_2 don't have to be perpendicular to each other, only not parallel.horsegirl09 said:If vectors V_1 and V_2 are perpendicular, lV_1 x V_2l =? I know that if they are parallel for vector cross product, they equal 0.
ehj said:Isn't it |V_1|*|V_2|*sin(a)?
A vector cross product is a mathematical operation that takes two vectors and calculates a new vector that is perpendicular to the original two vectors.
The magnitude of a vector cross product can be calculated by taking the product of the magnitudes of the two original vectors and the sine of the angle between them.
The geometric interpretation of a vector cross product is the area of a parallelogram formed by the two original vectors.
The direction of a vector cross product is determined by the right-hand rule, where the direction is perpendicular to the plane formed by the two original vectors.
Vector cross products are commonly used in physics and engineering to calculate forces, torque, and electromagnetic fields. They are also used in 3D graphics and computer vision algorithms for calculating orientation and movement in 3D space.