Dot product of two vectors overset(rarr)A and overset(rarr)Bis defined as overset(rarr)A.overset(rarr)B=aB cos phi, where phiis angle between them when they are drawn with tails coinciding. For any two vectors. This means overset(rarr)A . overset(rarr)B=overset(rarr)B. overset(rarr)Athat. The scalar product obeys the commutative law of multiplication, the order of the two vectors does not matter. The vector product of two vectors overset(rarr)A and overset(rarr)Balso called the cross product, is denoted byoverset(rarr)A xx overset(rarr)B . As the name suggests, the vector product is itself a vector. overset(rarr)C=overset(rarr)A xx overset(rarr)Bthen C=AB sin theta, A force overset(rarr)F=3hat i +c hat j + 2 hatkacting on a particle causes a displacementd=4hat i+ 2 hat i + 3 hat k . If the work done (dot product of force and displacement) is 6J then the value of c is :

Dot product of two vectors overset(rarr)A and overset(rarr)Bis defined

1.	Dot product of two vectors overset(rarr)A and overset(rarr)Bis defined as overset(rarr)A.overset(rarr)B=aB cos phi, where phiis angle between them when they are drawn with tails coinciding. For any two vectors. This means overset(rarr)A . overset(rarr)B=overset(rarr)B. overset(rarr)Athat. The scalar product obeys the commutative law of multiplication, the order of the two vectors does not matter. The vector product of two vectors overset(rarr)A and overset(rarr)Balso called the cross product, is denoted byoverset(rarr)A xx overset(rarr)B . As the name suggests, the vector product is itself a vector. overset(rarr)C=overset(rarr)A xx overset(rarr)Bthen C=AB sin theta, A force overset(rarr)F=3hat i +c hat j + 2 hatkacting on a particle causes a displacementd=4hat i+ 2 hat i + 3 hat k . If the work done (dot product of force and displacement) is 6J then the value of c is :
Answer» 12 0 6 1 Solution :`BARW =barF.bard,6 =-12+c+6, 2c=12,c=6`

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