If `theta` is the angle between the vectors `bar(i) + bar(j) , bar(j) + bar(k)` then find `sin theta`.

The vector abar(i)+b""bar(j)+cbar(k) is a bisector of the angle between the vectors bar(i)+bar(j) and bar(j)+bar(k) if

The vector of magnitude 3sqrt(6) along the bisector of the angle between the vectors 4bar(i)-7bar(j)+4bar(k) and bar(i)+2bar(j)-2bar(k) is

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)

If the vector -bar(i)+bar(j)-bar(k) bisects the angles between the vector bar(c) and the vector 3bar(i)+4bar(j) , then the unit vector in the direction of bar(c) is

If the vector -bar(i)+bar(j)-bar(k) bisects the angles between the vector bar(c) and the vector 3bar(i)+4bar(j) ,then the unit vector in the direction of bar(c) is

If the vector bar(i)-bar(j)+bar(k) bisects the angle between the vector bar(a) and the vector 4bar(i)+3bar(j) , then the unit vector in the direction of bar(a) is (xbar(i)+ybar(j)+zbar(k)) then x-15y+5z is equal to

Let bar(a) = 2bar(i)-bar(j)+bar(k), bar(b) = 3bar(i) + 4bar(j) -bar(k) and if theta is the angle between bar(a), bar(b) then find sin theta .

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

Find unit vector in the direction of vector bar(a) = (2bar(i)+3bar(j)+bar(k))