Disguise between scalar product and vector product of two vector
Answers
Vectors can be multiplied in two different ways: the scalar and vector product. As the name says, a scalar product of two vectors results in a scalar quantity, and a vector product in a vector quantity.
1. Scalar Product
The result of this product is a scalar quantity. The scalar product between two vector is denoted by a thick dot:
If is perpendicular to , the scalar product vanishes.
2. Vector Product
The result of this product is a vector quantity. The vector product between two vector is denoted by a cross (the product is sometimes also called "cross-product"):
ÊLLØ'.......!!
✔️Scalar Product:
• The magnitude of scalar product is equal to the product of the magnitudes of the two vectors and the cosine of the angle between them.
• It has no direction.
• It obeys the commutative law of vector multiplication.
• It is Zero if the two vectors are mutually perpendicular to each other.
• The self dot-product of a vector is equal to the square of it's magnitude.
✔️Vector Product:
• The magnitude of vector product is equal to the product of the magnitude of the two vectors and sine of small angle (∅) between them.
• It's direction is perpendicular to the plane of the vectors.
• It doesn't obey the commutative law of vector multiplication.
• It is Zero if the two vectors are parallel or antiparallel to each other.
• The self cross-product of a vector is zero.
THÅÑKẞ......!!