The vectors `bar(A)=ai-3j+k` and `bar(B)=i+j+k` are mutually perpendicular.Then value of `a` is

The vectors vec(A)=ai-3j+k and vec(B)=i+j+k are mutually perpendicular.Then value of a is

If bar(A)=3i-3j+2k and bar(B)=4i+2j-Ck are perpendicular,value of C is

If bar(P)=i+j+2k and bar(Q)=3i-2j+k ,the unit vector perpendicular to both bar(P) and bar(Q) is

The orthogonal projection of bar(a)=2bar(i)+3bar(j)+3bar(k) on bar(b)=bar(i)-2bar(j)+bar(k) (where bar(i)*bar(j)*bar(k) are unit vectors along there mutually perpendicular directions is

If bar(a)=7i+2j+k,bar(b)=2j+k-i, then component of bar(a) perpendicular to bar(b) is :

Vector bar(V) is perpendicular to the plane of vectors bar(a)=2i-3j+k and bar(b)=i-2j+3k and satisfy the condition bar(V)*(i+2j-7k)=10. Find |bar(V)|^(2)

If the vectors bar(a)=2bar(i)+3bar(j)+6bar(k) and bar(b) are collinear and |bar(b)|=21 , then bar(b) equals to

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

Let bar(a) be a unit vector bar(b)=2bar(i)+bar(j)-bar(k) and bar(c)=bar(i)+3bar(k) then maximum value of [[bar(a),bar(b),bar(c)]] is

Let bar(a) be a unit vector bar(b)=2bar(i)+bar(j)-bar(k) and bar(c)=bar(i)+3bar(k) then maximum value of [bar(a)bar(b)bar(c)] is