vector


All measurable quantities in Physics can fall into one of two broad categories - scalar quantities and vector quantities. A scalar quantity is a measurable quantity that is fully described by a magnitude or amount. On the other hand, a vector quantity is fully described by a magnitude and a direction.



Main concepts Vector processors abstract operations on vectors, e.g. replace the following loop for (i=0; i<n; i++) {a[i] = b[i] + c[i];} by a = b + c; ADDV.D V10, V8, V6 Some languages offer high-level support for these operations (e.g. Fortran90 or newer) Main concepts (II) Advantages of vector instructions



The so-called parallelogram law gives the rule for vector addition of two or more vectors. For two vectors and , the vector sum is obtained by placing them head to tail and drawing the vector from the free tail to the free head.



An antibiotic resistance gene in a vector usually helps in the selection of A. Competent cells B. Transformed cells C. Recombinant cells D. None of these



The triangle law follows directly from the defining axioms of vectors*. Suppose you have three vectors such that $\vec a + \vec b = \vec c$ . Then by the axioms: $$\vec a + \vec b + (-\vec c) = \vec c + (-\vec c)$$ $$\vec a + \vec b + (-\vec c) =0$$



In vector theory, the parallelogram law of vector addition is a method for determining the sum of two vectors that is based on the parallelogram law of vector addition. We will look at two laws of vector addition – the triangle law of vector addition and the parallelogram law of vector addition – in this chapter.



If we locate vectors u u and v v such that they form adjacent sides of a parallelogram, then the area of the parallelogram is given by ‖ u × v ‖ ‖ u × v ‖ (Figure 2.57). Figure 2.57 The parallelogram with adjacent sides u u and v v has base ‖ u ‖ ‖ u ‖ and height ‖ v ‖ sin θ . ‖ v ‖ sin θ .



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Example 1 ~ std::sort (myvector.begin (), myvector.end ()) Example 2 ~ std::sort (myvector.begin (), myvector.end (), myCompFunction) About The Function So let’s go dig into these and figure out what each does and why it does it. Found in ~ #include <algorithm>



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Vectors will be our friend for understanding motion happening in more than one dimension. Learn what vectors are and how they can be used to model real-world situations. Perform various operations with vectors like adding, subtracting, scaling, conversion between rectangular to polar coordinates, etc.