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The dot product of two parallel vectors is equal to the algebraic multiplication of the magnitudes of both vectors. If the two vectors are in the same direction, then the dot product is positive. If they are in the opposite direction, then the dot product is negative.


Tell whether the following two vectors are perpendicular or parallel and why. Perpendicular, because their dot product is zero. Perpendicular, because their dot product is one. Parallel, because their dot product is zero. Neither perpendicular nor parallel, because their dot product is neither zero ...


Dot Product A vector has magnitude (how long it is) and direction:. Here are two vectors: They can be multiplied using the "Dot Product" (also see Cross Product).. Calculating. The Dot Product gives a number as an answer (a "scalar", not a vector).. The Dot Product is written using a central dot: a · b This means the Dot Product of a and b . We can calculate the Dot Product of ...


dot product of 2 parallel vectors A and B wll be AB cos0(degree) since angle btw 2 parallel vectors is 0 . i.e.,answer is AB (magnitude of the vectors A & B.


It is simply the product of the modules of the two vectors (with positive or negative sign depending upon the relative orientation of the vectors). A typical example of this situation is when you evaluate the WORK done by a force vecF during a displacement vecs.


If [math]\;\;\overline{a}\;\;[/math]and [math]\;\;\overline{b}\;\; [/math]are parallel vectors, then their dot product is just [math]\;\;\pm\;ab\;, \;[/math]the ...


The dot product gives us a very nice method for determining if two vectors are perpendicular and it will give another method for determining when two vectors are parallel. Note as well that often we will use the term orthogonal in place of perpendicular. Now, if two vectors are orthogonal then we know that the angle between them is 90 degrees.


In proving that the points are in a straight line, we might be able to use dot product. In a straight line, means that the two vectors are parallel, (either in the same direction or opposite direction) According to my math textbook it would appear that in the case of angle between vectors being zero ...