Find angle `theta` between the vectors `vec a = hat i+ hat j- hat k` and `vec b= hat i- 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

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

Find the vector of magnitude 3, bisecting the angle between the vectors vec a=2 hat i+ hat j- hat k and vec b= hat i-2 hat j+ hat kdot

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

Find a vector of magnitude 5 units, and parallel to the resultant of the vectors vec a = 2 hat i + 3 hat j - hat k and vec b = hat i - 2 hat j+ hat k

Find the volume of a parallelopiped whose edges are represented by the vectors vec a = 2 hat i -3 hat j -4 hat k and vec b = hat i +2 hat j - hat k and vec c = 3 hat i + hat j + 2 hat k .

Find the area of a parallelogram whose adjacent sides are determined by the vectors vec a = 2 hat i - hat j +3 hat k and vec b = hat i- 6 hat j+ 4 hat k is

Find the area of the triangle whose adjacent sides are made by the vectors vec a = 3 hat i + 4 hat j + 4 hat k and vec b = hat i - 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 = 2 hat i - 7 hat j + hat k .

A vector of magnitude 7 units, parallel to the resultant of the vectors vec a = 2 hat i - 3 hat j - 2 hat k and vec b = - hat i + 2 hat j + hat k and vec c = - hat i + 2 hat j + hat k