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Questions and Answers
How is a vector represented using unit vector notation?
How is a vector represented using unit vector notation?
- As a linear sum of the unit vectors multiplication by scalar components (correct)
- As a linear sum of the unit vectors addition of scalar components
- As a linear sum of the unit vectors subtraction by scalar components
- As a linear sum of the unit vectors division by scalar components
What is the notation for the unit vector along the x-axis?
What is the notation for the unit vector along the x-axis?
- i (correct)
- k
- u
- j
In Cartesian coordinate planes, what denotes the unit vector along the y-axis?
In Cartesian coordinate planes, what denotes the unit vector along the y-axis?
- i
- j (correct)
- u
- k
What defines a unit vector?
What defines a unit vector?
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Study Notes
Unit vectors are vectors of length 1 that specify the direction of a vector. In this article, we will be focusing on the topic of unit vectors, their notation, their definition, and their use in vector calculus.
Unit vector notation is a way of representing vectors using unit vectors, which are vectors of length 1. In Cartesian coordinate planes, the unit vectors along the x, y, and z axes are denoted by i, j, and k, respectively . A vector can be described using i, j, and k notation, where the vector is a linear sum of the unit vectors multiplication by scalar components . For example, a vector v can be written as v = a i + b j + c k, where a, b, and c are scalar components.
Unit vectors have the following
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