Compute the magnitude of the following vectors and identify the unit vector.
`vec a = 2 hat i - 3 hat j + 5 hat k`

Compute the magnitude of the following vectors. veca = hat i + hat j + hat k , vec b = 2 hat i - 7 hat j - 3 hat k

Find a unit vector in the direction of the vector vec a = 2 hat i + 2 hat j + hat k .

Find the unit vector in the direction of the vector vec a = hat i - hat j + 2 hat k .

Find the unit vector in the direction of the vector vec a = -hat i + 2hat j + 2 hat k .

Find out unit vector of vector vec(A) = 3 hat(i) - 2 hat(j) + 4 hat(k)

Find the unit vector in the direction of the vector vec a= hat i+ hat j+ 2 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

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 .

Find the angle of vector vec a = 6 hat i + 2 hat j - 3 hat k with x -axis.