what is diffarence between Dot and Crossproducts? and give equations for both Cross and Dotproducts

sri tanish
66 Points
6 years ago
Vector multiplication is of two types  – 1 } scalar multiplication{dot product }  2} vector multiplication – {cross product }

In Euclidean space, a Euclidean vector is a geometrical object that possesses both a magnitude and a direction. A vector can be pictured as an arrow. Its magnitude is its length, and its direction is the direction that the arrow points. The magnitude of a vector A is denoted by . The dot product of two Euclidean vectors A and B is defined by[2][3]

where θ is the angle between A and B.  so basically dot product is a scalar . depending on cosine of angle b\w the vectors .  dot product is commutative .

CROSS PRODUCT:-

The magnitude of the cross product can be interpreted as the positive area of the parallelogram having a and b as sides (see Figure 1):

SO CROSS PRODUCT  is a vector depending on sine of angle b\w the vectors . CROSS PRODUCT IS NOT COMMUTATIVE , RATHER IT IS ANTI COMMUTATIVE .

SHAIK HAFEEZUL KAREEM
109 Points
6 years ago
Vector multiplication is of two types  – 1 } scalar multiplication{dot product }  2} vector multiplication – {cross product }

In Euclidean space, a Euclidean vector is a geometrical object that possesses both a magnitude and a direction. A vector can be pictured as an arrow. Its magnitude is its length, and its direction is the direction that the arrow points. The magnitude of a vector A is denoted by . The dot product of two Euclidean vectors A and B is defined by[2][3]

where θ is the angle between A and B.  so basically dot product is a scalar . depending on cosine of angle b\w the vectors .  dot product is commutative .

CROSS PRODUCT:-

The magnitude of the cross product can be interpreted as the positive area of the parallelogram having a and b as sides (see Figure 1):

SO CROSS PRODUCT  is a vector depending on sine of angle b\w the vectors . CROSS PRODUCT IS NOT COMMUTATIVE , RATHER IT IS ANTI COMMUTATIVE .