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What is the parallelogram law of two vectors and what is definations of dot product and cross product

What is the parallelogram law of two vectors and what is definations of dot product and cross product

Grade:12

15 Answers

KALYAN
400 Points
5 years ago
Acccording to the parallelogram law of vector addition: "If two vector quantities are represented by two adjacent sides or a parallelogram. then the diagonal of parallelogram will be equal to the resultant of these two vectors."
dot product:
                     In mathematics, the dot product or scalar product (sometimes inner product in the context of Euclidean space, or rarely projection productfor emphasizing the geometric significance), is an algebraic operation that takes two equal-length sequences of numbers  and returns a single number.
cross product:
                        The cross product of two vectors a and b is defined only in three-dimensional space and is denoted by a × b. In physics, sometimes the notation a ∧ b is used,though this is avoided in mathematics to avoid confusion with the  exterior product
Ravikiran
21 Points
5 years ago
The scalar product of two vectros A and B is denoted by A.B. Because of this notation, the scalar product is also called the dot product.
The vector product of two vectors A and B, also called the cross product, is denoted by A*B
 
SAI SARDAR
1700 Points
5 years ago
Dear Prabhakar,
             parallelgram law of vectors says tha if two vectors are represented by two sides of a triangle then the resultant vector is represented by diagonal.
Gaddam Chethan
317 Points
5 years ago
    In mathematics, the dot product or scalar product (sometimes inner product in the context of Euclidean space, or rarely projection productfor emphasizing the geometric significance), is an algebraic operation that takes two equal-length sequences of numbers  and returns a single number.
cross product:
T.kumar
281 Points
5 years ago
dear prabhakar. It states that the sum of the squares of the lengths of the four sides of a  equals the sum of the squares of the lengths of the two diagonals.
N JYOTHEESWAR
342 Points
5 years ago
Prallelogram law of vector addition states that when two vectors are represented by two adjacent sides of a parallelogram by direction and magnitude then the resultant of two vectors is represented by in magnitude and direction by the diagonal of the parallelogram from the starting point.
Gowri sankar
292 Points
5 years ago
Dear prabhakar,
                          The scalar product of two vectores p and q is p.q.This is called the dot product of vectors. the vector product of two vectors p and q is also denoted by cross product (p*q).

 
NARAYANA
242 Points
5 years ago
if the two vectors represented two sides of the triangle then the resultant is represented by digonal.if two vectors a&b the dot product is a.b,cross product is a*b.
subramanyam
53 Points
5 years ago
It states that the sum of the squares of the lengths of the four sides of a  equals the sum of the squares of the lengths of the two diagonals.
RAMCHANDRARAO
159 Points
5 years ago
in parallelogram of vectors two vectors are represented by two adjacent sides in parallelogram of vectors the square of the diagonal is equal to squre root of two adjacent sides squares and multiple of two adjacent vectors and multiple of 2cos(theta)(theta is the angle between the two adjacent vectors
sreekanth sree
125 Points
5 years ago
parallelogram law of vector addition states that when two vectors are represented by two adjacent sides of a parallelogram by direction and magnitude then the resulatant of these vectors is represented in magnitude and direction by the diagonal of the parallelogram starting from the same point.
raj
384 Points
5 years ago
HELLO PRABHAKAR
parallelogram law of vector addition states that when two vectors are represented by two adjacent sides of a parallelogram by direction and magnitude then the resulatant of these vectors is represented in magnitude and direction by the diagonal of the parallelogram starting from the same point.
mohan
216 Points
5 years ago
dear prabhakar...
               "If two vector quantities are represented by two adjacent sides or a parallelogram then the diagonal of parallelogram will be equal to the resultant of these two ...
Y MANJUNADH
131 Points
5 years ago
parallelogram law is defined as a parallelogram is a (non self-intersecting) quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.
NAVEENKUMAR NAGIPOGU
108 Points
5 years ago
the parallelogram law states that mainly was that  vector addition states that two adjacent vectors direction by magnitude.........................

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