Concept explainers
Check whether thestatement “A scaler multiple of a
Answer to Problem 53E
The statement is false.
Explanation of Solution
Given information:
A statement “A scaler multiple of a vector v has the same direction as v”.
It is known that the scalar multiplication of a vector may not have the same direction as the vector.
For example when a vector v with positive direction multiplied with a negative scaler, then the direction of the vector become negative, which is opposite to the original vector v.
In the statement, it is not mentioned that whether the scaler is positive or negative.
Conclusion:
Hence, the given statement is false.
Chapter 11 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
Additional Math Textbook Solutions
University Calculus: Early Transcendentals (3rd Edition)
Calculus & Its Applications (14th Edition)
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
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