To find: The component form of the unit
Answer to Problem 7RE
The component form of the unit vector
Explanation of Solution
Given information:
The given vector is
The magnitude of the vector to be found in 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
Apply the formula for magnitude of the vector
Substitute
Therefore,
Vector of magnitude
Apply the formula for scalar multiplication of vectors to find the vector of magnitude
Thus,
The component form of the unit vector
Chapter 10 Solutions
AP CALCULUS TEST PREP-WORKBOOK
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