See Also: vector operations(encyclopedia)
Operations(money)
operations research(medicine)
Funds from Operations (FFO)(finance)
Discontinued operations(finance)
operations (as used in expressions)(encyclopedia)
operations research(encyclopedia)
Funds From Operations (FFO)(money)
Suspend Operations(money)
formal operations(medicine)

succubous (iou) and vector operations (sh)


succubous (iou)



succubous adjective. M19.
[from late Latin succubare (see SUCCUBA) + -OUS.]
Botany. (Of a leaf, esp. in a foliose liverwort) obliquely inserted on the stem so that the upper margin is overlapped and covered by the lower margin of the leaf above; (of a plant) having its leaves so arranged. Opp. INCUBOUS.

vector operations (sh)




Extension of the laws of elementary algebra to vectors.

They include addition, subtraction, and three types of multiplication. The sum of two vectors is a third vector, represented as the diagonal of the parallelogram constructed with the two original vectors as sides. When a vector is multiplied by a positive scalar (i.e., number), its magnitude is multiplied by the scalar and its direction remains unchanged (if the scalar is negative, the direction is reversed). The multiplication of a vector a by another vector b leads to the dot product, written a ? b, and the cross product, written a ¡Á b. The dot product, also called the scalar product, is a scalar real number equal to the product of the lengths of vectors a (|a|) and b (|b|) and the cosine of the angle (¦È) between them: a ? b = |a| |b| cos ¦È. This equals zero if the two vectors are perpendicular (see orthogonality). The cross product, also called the vector product, is a third vector (c), perpendicular to the plane of the original vectors. The magnitude of c is equal to the product of the lengths of vectors a and b and the sine of the angle (¦È) between them: |c| = |a| |b| sin ¦È. The associative law and commutative law hold for vector addition and the dot product. The cross product is associative but not commutative.