Find the area of the parallelogram whose diagonals are `a = 3 hat i + hat j - 2 hat k and hat b = hat i - 3 hat j + 4 hat k`.

Determine the area of the parallelogram whose adjacent sides are 3 hat i + hat j+4 hat k and hat i - hat j + hat k .

Determine the area of the parallelogram whose adjacent sides are the vectors hat i- 3 hat j+ hat k and hat i+ hat j+ hat k .

Find the area of the parallelogram whose adjacent sides are given by vectors vec a= 3 hat i+ hat j+ 4 hat k and vec b= hat i- hat j+ hat k .

Find the area of the triangle formed by O,A,B where : vec OA= 3 hat i+ 2 hat j+ hat k , vec OB = -hat i- 3 hat j+ hat k

Find the area of the parallelogram whose adjacent sides are determined by the vectors vec a = hat i - hat j+ 3 hat k and vec b = 2hat i - 7hat j+ hat k

Find the area of the triangle formed by O,A,B where : vec OA= hat i+ 2 hat j+ 3 hat k , vec OB = -3 hat i- 2 hat j+ hat k

Find vec a* vec b if vec a=3 hat i+4 hat j-2 hat k and vec b=-2 hat i+ 2 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 unit vector in the direction of diagonal of the parallelogram whose sides are given by the vectors vec a= 2 hat i- hat j-3hat k', vec b=5 hat i+2hat j- hatk

Find the value of lambda so that the vectors vec a= 3 hat i + 3 hat j- lambda hat k and vec b= 2 hat i- hat j+ hat k are perpendicular to each other.