(a)
The addition of two vector
(a)
Answer to Problem 3.23P
The addition of two vector
Explanation of Solution
Given info: The value of two vector
Write the expression for addition of two vector
Substitute
Conclusion:
Therefore, the addition of two vector
(b)
The subtraction of two vector
(b)
Answer to Problem 3.23P
The subtraction of two vector
Explanation of Solution
Given info: The value of two vector
Write the expression for subtraction of two vector
Substitute
Conclusion:
Therefore, the subtraction of two vector
(c)
The magnitude of addition of two vector
(c)
Answer to Problem 3.23P
The magnitude of two vector
Explanation of Solution
Given info: The value of two vector
Write the expression for addition of two vector
Substitute
Write the expression for the magnitude of two vectors
Here,
Substitute
Vector
Conclusion:
Therefore, the magnitude of two vector
(d)
The magnitude of subtraction of two vector
(d)
Answer to Problem 3.23P
The magnitude of two vector
Explanation of Solution
Given info: The value of two vector
Write the expression for subtraction of two vector
Substitute
Write the expression for the magnitude of two vector
Here,
Substitute
Vector
Conclusion:
Therefore, the magnitude of two vector
(e)
The direction of vector
(e)
Answer to Problem 3.23P
The direction of vector
Explanation of Solution
Given info: The value of vector
Write the expression for direction of
Here,
Substitute
The angle made by the vector with the positive axis is,
Substitute
Write the expression for direction of
Here,
Substitute
Conclusion:
Therefore, the direction of vector
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Chapter 3 Solutions
Physics for Scientists and Engineers, Technology Update (No access codes included)
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