Question

यदि सदिश `vec(A)=3hat(i)+3hat(j)-3hat(k)` तथा सदिश `vec(B)=7hat(i)-5hat(j)+2hat(k)` हो तो `vec(A)*vec(B)` तथा `vec(A)xxvec(B)` के मान कीजिये ।

Answer 1

`vec(A)*vec(B)=(3hat(i)+3hat(j)-3hat(k))*(7hat(i)-5hat(j)+2hat(k))`
`=3(7)+3(-5)-3(2)=21-15-6=0`
`vec(A)xxvec(B)=|{:(hat(i),hat(j),hat(k)),(3,3,-3),(7,-5,2):}|`
`=hat(i)(6-15)-hat(j)(6+21)+hat(k)(-15-21)`
`=-9hat(i)-27hat(j)-36hat(k)`