Concept explainers
(a)
The unit vector in the northeast direction.
(a)
Answer to Problem 60P
The unit vector in the northeast direction is
Explanation of Solution
Given:
Unit vectors
Formula used:
The magnitude of unit vector is always equal to one that’s why it is termed as a unit vector.
The general expression for a vector is
Write the expression for vector in terms of its components.
Here,
When the unit vector is in the northeast direction, it will have an angle
Calculation:
Substitute
Conclusion:
Thus, the unit vector in the northeast direction is
(b)
The unit vector in
(b)
Answer to Problem 60P
The unit vector in
Explanation of Solution
Given:
Unit vectors
Formula used:
The magnitude of unit vector is always equal to one that’s why it is termed as a unit vector.
The general expression for a vector is
Write the expression for vector in terms of its components.
Here,
When the unit vector is in
Calculation:
Substitute
Conclusion:
Thus,the unit vector in
The unit vector in the southwest direction.
Answer to Problem 60P
The unit vector in the southwest direction is
Explanation of Solution
Given:
Unit vectors
Formula used:
Magnitude of unit vector is always equal to one that’s why it is termed as a unit vector.
The general expression for a vector is
Write the expression for vector in terms of its components.
Here,
When the unit vector is in the southwest direction, it will have an angle
Calculation:
Substitute
Conclusion:
Thus, the unit vector in the southwest direction is
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Chapter 1 Solutions
Physics for Scientists and Engineers
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