Find the sine of the angle between the vectors `vec(a) =(2 hat(i) - hat(j) + 3 hat(k)) and vec(b) = (hat(i) + 3 hat(j) + 2 hat(k)).`

Find the angle between the vectors vec(a) = hat(i) + hat(j) + hat(k) and vec(b) = hat(i) - hat(j) + hat(k) .

The sine of the angle between vectors vec(a)=2hat(i)-6hat(j)-3hat(k) and vec(b)=4hat(i)+3hat(j)-hat(k)

Find the sine of the angle between the vectors vec A = 3 hat i - 4 hat j + 5 hat k and vec B = hat i - hat j + hat k .

Find the angle between vec(A) = hat(i) + 2hat(j) - hat(k) and vec(B) = - hat(i) + hat(j) - 2hat(k)

Find the angle between the vectors : vec(a)=hat(i)+hat(j)-hat(k) " and " vec(b)=hat(i)-hat(j)+hat(k)

Find the sine of the angle between the vectors vec a =3 hat i+hat j+2 hat k and vec b =2hat i-2 hat j+4 hat k .

Find the scalar product of the following pair of vectors and the angle between them : vec(a) = 2 hat (i) + 3 hat (j) - 4 hat (k) and vec(b) = hat (i) + 2 hat (j) + hat (k)

Find the angle between the vectors vec a = 3 hat i +4 hat j + hat k and vec b = 2 hat i +3 hat j - hat k

The angle between the vectors : vec(a)=hat(i)+2hat(j)-3hat(k) and 3hat(i)-hat(j)+2hat(k) is :