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)|=`

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)| =

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(b)+bar(c)=bar(0) then bar(a)timesbar(b)=

If bar(a), bar(b), bar(c) are non-coplanar vectors and x, y, z are scalars such that bar(a)=x(bar(b)timesbar(c))+y(bar(c)timesbar(a))+z(bar(a)timesbar(b)) then x =

If bar(a)=2bar(i)-3bar(j)+5bar(k),bar(b)=-bar(i)+4bar(j)+2bar(k) then find bar(a)timesbar(b) and unit vector perpendicular to both bar(a) and bar(b) .

If bar(a)=4bar(i)+6bar(j) and bar(b)=3bar(j)+4bar(k), then the vector form of the component of a along b is

Given three vectors bar(a)=6bar(i)-3bar(j),bar(b)=2bar(i)-6bar(j) and bar(c)=-2bar(i)+21bar(j) such that bar(alpha)=bar(a)+bar(b)+bar(c) Then the resolution of the vector bar(alpha) into components with respect to bar(a) and bar(b) given by

If bar(a),bar(b),bar(c) are non-coplanar vectors such that then bar(b)xxbar(c)=bar(a),bar(c)xxbar(a)=bar(b) and bar(a)xxbar(b)=bar(c), then |bar(a)+bar(b)+bar(c)|=