If `vec(a)=vec(i)+2hat(j)+3hat(k),vec(b)=2hat(i)+hat(j)-2hat(k),vec(c)=3hat(i)+hat(2j)+hat(k)," find "vec(a)*(vec(b)xxvec(c))`

If vec(a)=hat(i)-2hat(j)+3hat(k),vec(b)=2hat(i)+hat(j)-2hat(k),vec(c)=3hat(i)+2hat(j)+hat(k)," find (i) "(vec(a)xxvec(b))xxvec(c)" (ii) "vec(a)xx(vec(b)xxvec(c))

If vec(a)=hat(i)+2hat(j)+3hat(k),vec(b)=2hat(i)-hat(j)+hat(k),vec(c)=3hat(i)+2hat(j)+hat(k)andvec(a)xx(vec(b)xxvec(c))=lvec(a)+mvec(b)+nvec(c) find the values fo l,m,n.

If vec(a)=2hat(i)+3hat(j)-hat(k),vec(b)=3hat(i)+5hat(j)+2hat(k),vec(c)=-hat(i)-2hat(j)+3hat(k), (vec(a)xxvec(b))xxvec(c)=(vec(a)*vec(c))vec(b)-(vec(b)*vec(c))vec(a)

If vec(a)=2hat(i)+3hat(j)-hat(k),vec(b)=3hat(i)+5hat(j)+2hat(k),vec(c)=-hat(i)-2hat(j)+3hat(k), vec(a)(vec(a)xxvec(b))=(vec(a)*vec(c))vec(b)-(vec(a)*vec(b))vec(c)

vec(a)=2hat(i)+3hat(j)-hat(k),vec(b)=-hat(i)+2hat(j)-4hat(k),vec(c)=hat(i)+hat(j)+hat(k)" then find the of "(vec(a)xxvec(b))*(vec(a)xxvec(c)).

If vec(a)=hat(i)+2hat(j)+3hat(k),vec(b)=-hat(i)+2hat(j)+hat(k),vec(c)=3hat(i)+hat(j)" then "vec(a)+tvec(b) will be perpendicular to vec(c) only when t =

If vec(a)=2hat(i)+3hat(j)-hat(k),vec(b)=hat(i)+2hat(j)-5hat(k),vec(c)=3hat(i)+5hat(j)-hat(k), then a vector perpendicular to vec(a) and lies in the plane containing vec(b)andvec(c) is

If vec(a)=hat(i)-hat(j),vec(b)=hat(j)-hat(k),vec(c)=hat(k)-hat(i)" then find "[vec(a)-vec(b),vec(b)-vec(c),vec(c)-vec(a)]

If vec(a)=hat(i)+2hat(j)+3hat(k),vec(b)=-hat(i)+2hat(j)+hat(k)andvec(c)=3hat(i)+hat(j)" find "lambda" such that "vec(a)+lambdavec(b) is perpendicular to vec(c).