If is the angle between plane `bar(r).bar(n)=p` and the line `bar(r).bar(a)=lamdabar(b)`

The angle between planes bar(r).(2bar(i)-3bar(j)+4bar(k))+11=0 and bar(r).(3bar(i)-2bar(j)-3bar(k))+27=0 is

If theta is the angle between unit vectors bar(A) and bar(B) then (1-bar(A).bar(B))/(1+bar(A)*bar(B)) is equal to

Find anle between planes bar(r ).(2bar(i)-bar(j) + 2 bar(k)) = 3, bar(r ).(3bar(i)+6bar(j) + bar(k)) = 4

Ig |bar(a)| = 11 ,|bar(b)| = 23,|bar(a)-bar(b)| = 30 then find the angle between the vectors bar(a),bar(b) and also find |bar(a)+bar(b)| .

The angle between the planes bar(r)*(2bar(i)-3bar(j)+4bar(k))+11=0 and "bar(r)*(3bar(i)-2bar(j))=0. is

Find the distance between the planes bar(r) * ( 2 bar(i) - bar(j) + 3 bar(k)) = 4 and bar(r) * ( 6 bar(i) - 3 bar(j) + 9 bar(k)) + 13 = 0

A non-zero vector bar(a) , is parallel to the line of intersection of the plane determined by the vectors bar(i), bar(i) + bar(j) and the plane determined by the vectors bar(i)- bar(j), bar(i) + bar(k) Find the angle between bar(a) and the vector bar(i)- 2bar(j) + 2bar(k)