Question

Define (a) scalar product and (b) vector product of two vectors.

Answer 1

(a) A scalar product is also known as dot product and it is defined as the product of magnitude of two vectors and cosine of angle between them
(b) A vector product is also known as cross product and it is defined as the product of magnitude of two vectors and sine of angle between them

Answer 2

ÊLLØ'.......!!

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✔️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......!!