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Right-hand rule for cross product. The cross product of vectors and is a vector perpendicular to the plane spanned by and with the direction given by the right-hand rule: If you put the index of your right hand on and the middle finger on , then the thumb points in the direction of . [4] Fleming's right hand rule
A commonly used mnemonic for defining the positive orientation is the right-hand rule. Placing a somewhat closed right hand on the plane with the thumb pointing up, the fingers point from the x-axis to the y-axis, in a positively oriented coordinate system. The other way of orienting the plane is following the left-hand rule, placing the left ...
Conventionally, it is given by the right-hand rule, where one simply points the forefinger of the right hand in the direction of a and the middle finger in the direction of b. Then, the vector n is coming out of the thumb (see the adjacent picture). Using this rule implies that the cross product is anti-commutative; that is, b × a = −(a × b).
Traversal using right-hand rule (). One effective rule for traversing mazes is the Hand On Wall Rule, also known as either the left-hand rule or the right-hand rule.If the maze is simply connected, that is, all its walls are connected together or to the maze's outer boundary, then by keeping one hand in contact with one wall of the maze the solver is guaranteed not to get lost and will reach a ...
To obtain exactly the same rotation (i.e. the same final coordinates of point P), the equivalent row vector must be post-multiplied by the transpose of R (i.e. wR T). Right- or left-handed coordinates The matrix and the vector can be represented with respect to a right-handed or left-handed coordinate system. Throughout the article, we assumed ...
There is also a Fleming's left-hand rule (for electric motors). The appropriately handed rule can be recalled from the letter "g", which is in "right" and "generator". These mnemonics are named after British engineer John Ambrose Fleming, who invented them. An equivalent version of Fleming's right-hand rule is the left-hand palm rule. [2]
If the right-hand grip rule and the right-hand rule were both changed to left-handed (this is equivalent to changing to a left-handed coordinate system, or a parity flip in which the right- and left- sides of the Universe are exchanged) all these equations would still work, they would give the correct direction for forces and currents, but the ...
Angles are commonly defined according to the right-hand rule. Namely, they have positive values when they represent a rotation that appears clockwise when looking in the positive direction of the axis, and negative values when the rotation appears counter-clockwise. The opposite convention (left hand rule) is less frequently adopted.