scalar dot product

Dot Product of Vectors and the Resolution of a Vector - It was mentioned earlier that, displacement vectors are added to displacement vectors, or velocity vectors are added to velocity vectors. Just as it is meaningless to add scalar quantities of different kinds, such..

. The first case, that is, multiplication of a vector by a scalar has been dealt with in the section; multiplication of vectors by real numbers. Hence, we move on to the second case, that is, multiplication of two vectors in such a way as to yield a scalar. Such an operation is ..

. orders of factors in a vector product is important. This is not true for scalars because, the order of factors in algebra or arithmetic does n..

Find the scalar product of - 3 and the square matrix ( 2 0 - 4 2 ) . => ( - 3 0 3 3 ) or ( - 2 2 - 2 0 ) or ( - 2 - 2 - 4 0 ) or ( - 6 0 12 - 6 )..

Find the scalar product of - 4 and the square matrix ( 3 0 - 5 4 ) . => ( - 12 0 20 - 16 ) or ( - 3 - 4 - 5 0 ) or ( - 3 4 - 3 0 ) or ( - 4 0 4 4 )..

Find the scalar product of - 3 and the square matrix ( 2 0 - 4 2 ) . => ( - 6 0 12 - 6 ) or ( - 3 0 3 3 ) or ( - 2 - 2 - 4 0 ) or ( - 2 2 - 2 0 )..

Which of the following is the dot product of the vectors u = < u 1 , u 2 > and v = < v 1 , v 2 >? => u 1 v 1 - u 2 v 2 or u 1 u 2 + v 1 v 2 or u 1 v 2 + u 2 v 1 or u 1 v 1 + u 2 v 2..

Types of linear systems Gauss-Jordan elimination, Gauss-Jordan method Vectors and vector addition Geometrical solution sets of systems of equations Rectangular matrices to row echelon form Matrix multiplication Inverse to a square matrix Determinants of 2 by 2 and 3 by 3 matrices Row redu..

The following are the Operation on Real Functions: Sum Function, Difference Function, Product Function, Quotient Function, Scalar Multiplication Function, Composite Functions, Inverse Function..

(A T ) T = A (A + B) T = A T + B T , A and B being of the same order. (KA) T = KA T , k be any scalar (real or complex) (AB) T = B T A T ; A and B being conformable for the product A..