The orthogonal projection of `bar(a)=2i+3j+3k` on `bar(b) = i-2j+k` 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

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 bar(a)=2bar(i)-3bar(j)+6bar(k) , bar(b)=-2bar(i)+2bar(j)-bar(k) and k =(the projection of bar(a) on bar(b)) /(the projection of bar(b) on bar(a)) then the value of 3k=

If bar(a) = bar(i) - bar(j)-bar(k), bar(b) = 2bar(i) - 3bar(j) + bar(k) then find the projection vector of bar(b) on bar(a) and its magnitude.

If bar(a) = bar(i) + bar(j)+bar(k), bar(b) = 2bar(i) + 3bar(j) + bar(k) then find the projection vector of bar(b) on bar(a) and its magnitude.

If bar(a)=2bar(i)-3bar(j)+6bar(k), bar(b)=-2bar(i)+2bar(j)-bar(k) and lambda=(the projection of bar(a) on bar(b))/( the projection of bar(b) on bar(a)) then the value of lambda is

If bar(a)=bar(i)+2bar(j)+2bar(k) and bar(b)=3bar(i)+6bar(j)+2bar(k) then the vector in the direction of bar(a) and having magnitude as abs(bar(b)) is