(a)
To find: Explain why
(a)
Answer to Problem 65E
By the triangle law of
Explanation of Solution
Given information:
Given that
Calculation:
In the in diagram red line represents the resultant vector. By the triangle law of vector addition states that when two vectors are represented as two sides of the triangle with the order of magnitude and direction, then the third side of the triangle represents the magnitude and direction of the resultant vector. The sum of two vector is represented by tail to head representation. In the given diagram vector
To find: Explain why
Answer to Problem 65E
The scalar product of two vectors
Explanation of Solution
Given information:
Given that
The scalar product of two vectors
(c)
To find: Find the component of
(c)
Answer to Problem 65E
The component of
Explanation of Solution
Given information:
Given that
Calculation:
The components of
This is the component form of
Recall the magnitude of a vector is given as:
Similarly magnitude of
Now the magnitude of
Substitute the values of
Hence proved.
(d)
To find: Prove that
(d)
Explanation of Solution
Given information:
Given that
Calculation:
In the given figure
The magnitude of the vector is given as
Hence proved.
Chapter 10 Solutions
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
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