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Cross product tests for parallelism and Dot product tests for perpendicularity.
Cross and Dot products are used in applications involving angles between vectors.
For example given two vectors A and B;
The parallel product is AxB= |AB|sin(AB).
If AXB=|AB|sin(AB)=0 then Angle (AB) is an even multiple of 90 degrees. This is considered a parallel condition. Cross product tests for parallelism.
The perpendicular product is A.B= -|AB|cos(AB)
If A.B = -|AB|cos(AB) = 0 then Angle (AB) is an odd multiple of 90 degrees. This is considered a perpendicular condition. Dot product tests for perpendicular.
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What are the applications of cross product and dot product in physics?
cross: torque dot: work
in what components dot and cross product resolve?
A dot product is a scalar product so it is a single number with only one component. A cross product or vector product is a vector which has three components like the original vectors.
Is work is the vector product of force and distance?
Yes and no. It's the dot product, but not the cross product.
Why you use cosine theta with cross product?
Normally you use sine theta with the cross product and cos theta with the vector product, so that the cross product of parallel vectors is zero while the dot product of vectors at right angles is zero.
What is the product of two vector quantities?
It depends on the type of product used. A dot or scalar product of two vectors will result in a scalar. A cross or vector product of two vectors will result in a vector.
