The vectors `bar(AB)=3bar(i)+4bar(k)` and `bar(AC)=5bar(i)-2bar(j)+4bar(k)` are the sides of a triangle ABC .The length of the median through A

( The vector )/(AB)=3hat i+4hat k and bar(AC)=5hat i-2hat j+4hat k are the sides of a triangle ABC.The length of the median through A is

The vectors bar(AB)=3overset(^)i+5overset(^)j+4overset(^)k and bar(AC)=5overset(^)i-5overset(^)j+2overset(^)k are sides of a triangle ABC The length of the median through A is

If 2bar(i)+3bar(j)-6bar(k) , 6bar(i)-2bar(j)+3bar(k) are two consecutive sides of a triangle, then perimeter of triangle is

If the vectors bar(a)=-2bar(i)+3bar(j)+ybar(k) and bar(b)=xbar(i)-6bar(j)+2bar(k) are collinear, then the value of x+y is

If the vectors bar(a)=-2bar(i)+3bar(j)+ybar(k) and bar(b)=xbar(i)-6bar(j)+2bar(k) are collinear,then the value of x+y is

The vectors bar(i)+4bar(j)+6bar(k),2bar(i)+4bar(j)+3bar(k) and bar(i)+2bar(j)+3bar(k) form

bar(F),=abar(i)+3bar(j)+6bar(k) and , bar(r),=2bar(i)-6bar(j)-12bar(k) .The value of a for which the toque is 0

bar(OA)=6bar(i)+3bar(j)-4bar(k),bar(OB)=2bar(j)+bar(k),bar(OC)=5bar(i)-bar(j)+2bar(k) are coterminous edges of a parallelepiped,then the height of the parallelepiped drawn from the vertex A is

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

If bar(a)=2bar(i)+bar(j)+2bar(k),bar(b)=5bar(i)-3bar(j)+bar(k), then the length of the component vector of b perpendicular to a is