
To express: The unit

Answer to Problem 1.8MA
The unit vector
Explanation of Solution
Suppose the unit vector is
Perform dot product with
Perform dot product with
Perform dot product with
Thus, the unit vector
Consider the non-unit vector
Perform dot product with
Perform cross product with
Then, the system of equations is obtained as
From the equation 1 and 2, obtain the values of r and equate them.
Substitute the value of p in equation 2 and obtain the value of r.
Substitute the values of p and r in the equation
Substitute back the value of q in p and r in order to obtain their values.
That is,
Thus, the non-unit vector
Therefore, the unit vector
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Chapter MA Solutions
Elements Of Electromagnetics
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