" 17.If "bar(a)=vec i+bar(j)+bar(k),bar(c)=bar(j)-bar(k)" ,then find vector "bar(b)" such that "bar(a)timesbar(b)=bar(c)" and "bar(a)*bar(b)=3" ."

If bar(a)=bar(i)+bar(j)+bar(k) and bar(b)=bar(j)-bar(k) , then find a vector vec( c ) such that bar(a)xx bar( c )=bar(b) and bar(a).bar( c )=3 .

Let bar(a)=hat j-hat k and bar(c)=hat i-hat j-hat k then the vector bar(b) satisfying bar(a)timesbar(b)+bar(c)=0 and bar(a).bar(b)=3 is

If bar(a)=2bar(i)-bar(j)+bar(k), bar(b)=bar(i)-3bar(j)-5bar(k) , find the vector bar(c) such that bar(a), bar(b) and bar(c) form the sides of a triangle.

If bar(a)=3bar(i)-5bar(j),bar(b)=6bar(i)+3bar(j) are two vectors and bar(c) is vector such that bar(c)=bar(a)timesbar(b) then |bar(a)|:|bar(b)|:|bar(c)|=

Let bar(a)=-bar(i)-bar(k) , bar(b)=-bar(i)+bar(j) and bar(c)=bar(i)+2bar(j)+3bar(k) be three given vectors. If bar(r) is a vector such that bar(r)timesbar(b)=bar(c)timesbar(b) and bar(r)*bar(a)=0 , than bar(r)*bar(b) =

Let bar(a)=-bar(i)-bar(k),bar(b)=-bar(i)+bar(j) and bar(c)=bar(i)+2bar(j)+3bar(k) be three given vectors. If bar(r) is a vector such that bar(r) times bar(b)=bar(c) times bar(b) and bar(r).bar(a)=0 then bar(r).bar(b)=

If bar(a)=bar(i)+bar(j)+bar(k) , bar(b)=bar(i)+2bar(j)+3bar(k) then a unit vector perpendicular to both vectors (bar(a)+bar(b)) and (bar(a)-bar(b)) is

If bar(a)=bar(i)-2bar(j)-bar(k) , bar(b)=-2bar(j)+bar(k) are two vectors and bar(c) is a vector such that bar(c)=bar(a) times bar(b) then |bar(a)|:|bar(b)|:|bar(c)| =