Find out the angle between two-vectors `hat i + hat j` and `hat i- hat k`.

Find the angle between the vectors hat i-2 hat j+3 hat k and 3 hat i-2 hat j+ hat kdot

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 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 +2 hat k and vec b = 2 hat i -2 hat j + 4 hat k

Find the scalar product of the following pair of vectors and the angle between them : hat (i) + hat(j) and hat (j) + hat (k)

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

Find the least positive integral value of x for which the angle between vectors vec a=x hat i-3 hat j- hat k and vec b=2x hat i+x hat j- hat k is acute.

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 made by the vector sqrt(2) hat (i) + hat (j) + hat (k) with the y - axis

Find the angle between the lines vec r= dot( hat i+2 hat j- hat k)+lambda( hat i- hat j+ hat k) and the plane vec r . dot(3 hat i- hat j+ hat k)=4.