Solution:

According to the question

Using system of linear equations we can simultaneously solve I, II, III to get and hence

The dot products of a vector with the vector and are 0,5 and 8 respectively. Find the vector.

The dot products of a vector with the vector and are 0,5 and 8 respectively. Find the vector.

Solution:

According to the question

Using system of linear equations we can simultaneously solve I, II, III to get and hence