00:00hello viewers and friends welcome to my youtube channel dear friends
00:09aaj hum ek most important topic study karenge the topic is how can we get
00:19scalar or vector through product of different types today I will try my best
00:28to clear this confusion which is faced by many students many students cannot know
00:39that when vectors or scalars are obtained through which type of product so there
00:51are many types of product the first one is just product in just products two
01:08scalars are multiplied means when scalars is multiplied with a scalars when
01:19scalar is multiplied with a scalars then their product is obtained as a scalar
01:28quantity take a suppose such that distance distance is the product of speed
01:45speed and time means scalar into a scalar will be equal to a scalar the second one
01:55is simple product
02:02this product takes place between scalar and vector means when scalars when scalars is
02:25multiplied with vectors then their product will be vector quantity such that the
02:42example number one is momentum which is the simple product of mass and velocity so
02:51scalar into vector will be equal to vector the example number two is force it is also the
03:00simple product of mass and acceleration so force is also vector quantity and the third one
03:11example is displacement it is the simple product of velocity and time so displacement
03:20displacement is also vector quantity the third one type of product is vector
03:29product vectors or scalar product this product takes place between two vectors and their
03:49product will be obtained either vector or scalar quantity so there are two types of this product
03:58the first one is dot product and the second one is cross product
04:15so in dot product so in dot product when vector is multiplied with vector according to dot product then their product will be obtained as a scalar quantity
04:32according to dot product then their product will be obtained as a scalar quantity
04:48such as work which is the dot product of force and displacement so vector dot vector will be
04:58equal to scalar and the second example is power which is also dot product of force and velocity so vector dot vector will be equal to a scalar quantity and third one example is electric potential which is also dot product of electric field intensity and
05:14and third one example is electric potential which is also dot product of electric field intensity and displacement
05:32the second one part is cross product means when vector is multiplied according
05:42to cross product with a vector quantity then their product will be obtained as vector quantity
05:47for example torque torque is the cross product of position vectors and force the second one is
06:12the third one example is angular momentum angular momentum angular momentum is the cross product of position vector and linear momentum so these are vector quantities and third one example is tangential acceleration which is the cross product of position vector or radius vector and angular acceleration
06:41so these were the some types of products i hope you have understood these types in a well manner thank you
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