To calculate:The unit vector in the same direction as
Answer to Problem 85RE
Theunit vector in the direction of vector
Explanation of Solution
Given information:
The vectors:
Formula used:
Formula of the unit vector on the direction of vector.
Formula of unit vector on the direction opposite to the given vector.
Calculation:
Consider the vectors:
First find the unit vector in the direction as
Apply the formula of the unit vector in the direction as
Apply the values in the formula,
First calculate the magnitude of
Now apply the value of magnitude of
Observe that, above result is the result of unit vector in the direction as v.
Now find the direction opposite to the vector
Apply the formula here for direction opposite to the vector
Now rewrite the expression in the formula:
As the value of unit vector we already found above then,
Now for opposite direction take minus sign to the unit vector and got the result for the opposite direction of the vector
Thus, The unit vector in the direction of vector
Chapter 9 Solutions
Precalculus
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