to check if vectors form a right handed system, we can use the scalar triple product. Please give the full problem statement when asking for help.Andrew Tom said:Homework Statement:: Do the two vectors form a right handed set
Relevant Equations:: Vectors
I am confused by a question. I thought "right handed set" only applied to sets of three vectors. However I have been given 2 vectors and asked "check whether they are perpendicular to each other and if they form a right handed set. If they don't form a right handed set, the second vector must be multiplied by -1".
That's very difficult using only two vectors.MidgetDwarf said:to check if vectors form a right handed system, we can use the scalar triple product. Please give the full problem statement when asking for help.
A right handed set of vectors is a set of two vectors that are oriented in such a way that when one vector is placed on top of the other, the fingers of the right hand can curl from the first vector to the second vector in a counter-clockwise direction.
To determine if two vectors form a right handed set, you can use the right hand rule. Place the first vector on the palm of your right hand with your fingers curled in the direction of the vector. Then, place the second vector on top of the first vector. If your fingers can curl from the first vector to the second vector in a counter-clockwise direction, then the two vectors form a right handed set.
A right handed set of vectors is significant because it follows the convention used in mathematics and physics. This convention is used to determine the direction of cross products, which are used in many mathematical and physical calculations.
No, two vectors cannot form a right handed set if they are parallel. In order for two vectors to form a right handed set, they must be oriented in different directions. If two vectors are parallel, their directions are the same and the right hand rule cannot be applied.
A right handed set of vectors can be represented mathematically using the cross product. The cross product of two vectors results in a third vector that is perpendicular to both of the original vectors and follows the right hand rule. The magnitude of the cross product is equal to the product of the magnitudes of the two original vectors multiplied by the sine of the angle between them.