Given the vectors
(a)
To sketch: The diagram for the vector sum
Explanation of Solution
Introduction: Graphical method or geographical construction of vectors is defined as a method that is used to add more than two vectors. The resultant vector is drawn from the tail of the first vector to the head of the last vector.
Section 1:
To sketch: The diagram for the vector sum,
Introduction: Graphical method or geographical construction of vectors is defined as a method that is used to add more than two vectors. The resultant vector is drawn from the tail of the first vector to the head of the last vector.
Explanation:
Given information:
Vector
Draw the vector diagram for vector sum,
Figure I
Conclusion:
Therefore, the vector diagram for vector sum,
Section 2:
To sketch: The diagram for the vector difference,
Introduction: Graphical method or geographical construction of vectors is defined as a method that is used to add more than two vectors. The resultant vector is drawn from the tail of the first vector to the head of the last vector.
Explanation:
Given information:
Vector
Draw the vector diagram for vector difference,
Figure II
Conclusion:
Therefore, the vector diagram for vector difference,
(b)
Answer to Problem 3.26P
Explanation of Solution
Section 1:
To determine: The vector
Answer: The vector
Explanation:
Given information:
Vector
Formula to calculate the
Substitute
Conclusion:
Therefore, the vector
Section 2:
To determine: The vector
Answer: The vector
Explanation:
Given information:
Vector
Formula to calculate the
Substitute
Conclusion:
Therefore, the vectors
(c)
Answer to Problem 3.26P
Explanation of Solution
Section 1:
To determine: The vector
Answer: The vector
Explanation:
Given information:
Vector
The vector
Formula to calculate the first polar coordinate is,
Substitute
Formula to calculate the second polar coordinate is,
Substitute
Conclusion:
Therefore, the vector
Section 2:
To determine: The vector
Answer: The vector
Explanation:
Given information:
Vector
The vector
Formula to calculate the first polar coordinate is,
Substitute
Formula to calculate the second polar coordinate is,
Substitute
Conclusion:
Therefore, the vectors
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