To find: The component form of thevector
Answer to Problem 8RE
The component form of the vector
Explanation of Solution
Given information:
The given vector is
The magnitude of the vector to be found in the direction opposite to the direction of the given vector
Formula used:
Component form of a vector:
A two-dimensional vector
Magnitude of a vector:
The magnitude of the vector
Unit vector:
The vector
Scalar multiplication:
The product of the scalar
Calculation:
Let the given vector be
The vector opposite to the direction of the vector
Apply the formula for magnitude of a vector to find
Simplify further to obtain:
Substitute
Therefore,
Vector of magnitude
Apply the formula for scalar multiplication of vectors to find the vector of magnitude
A vector in the direction of
Thus,
The component form of the vector
Chapter 10 Solutions
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
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