Concept explainers
(a)
To draw:
The sum of two
(a)
Answer to Problem 45HP
The sum of two vectors is shown by the following figure. The resultant direction of the vector sum is either in same or opposite direction as it is sum of two parallel vectors:
Explanation of Solution
Given information:
Two vectors
Here, need to draw two vectors to get sum of them. Check the following vector diagram:
To get the resultant direction of the sum of vectors need to add these two vectors as:
Here, the sum of two vectors is parallel to both of the original vectors.
(b)
To draw:
The difference of two vectors and tells the resultant direction of the vector sum
(b)
Answer to Problem 45HP
The difference of two vectors is shown by the following figure. The resultant direction of the vector difference is either in same or opposite direction as it is difference of two parallel vectors:
Explanation of Solution
Given information:
Two vectors
Here, need to draw two vectors to get difference of them. Check the following vector diagram:
To get the resultant direction of the difference of vectors need to subtract these two vectors as:
Here, the difference of two vectors is parallel to both of the original vectors. The resultant direction of the vector difference is either in same or opposite direction as it is difference of two parallel vectors:
Chapter 8 Solutions
Geometry, Student Edition
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