Podcast
Questions and Answers
What is the defining characteristic of a scalar quantity?
What is the defining characteristic of a scalar quantity?
- It can be expressed by its magnitude and units alone (correct)
- It can be expressed by its magnitude, direction, and units
- It can be expressed by its magnitude and direction
- It can be expressed by its direction and units alone
What property of vector addition states that the order of the addends does not affect the sum?
What property of vector addition states that the order of the addends does not affect the sum?
- Identity property
- Multiplicative property
- Commutative property (correct)
- Associative property
Which of the following is a defining characteristic of a unit vector?
Which of the following is a defining characteristic of a unit vector?
- Its direction is indeterminate
- Its direction is opposite to the original vector
- Its magnitude is one (correct)
- Its magnitude is zero
What property of scalar multiplication states that the product of a vector and the sum of two scalars is equal to the sum of the products of the vector with each scalar?
What property of scalar multiplication states that the product of a vector and the sum of two scalars is equal to the sum of the products of the vector with each scalar?
The dot product of two vectors is defined as $|u||v|\cos\theta$. What does the angle $\theta$ represent?
The dot product of two vectors is defined as $|u||v|\cos\theta$. What does the angle $\theta$ represent?
Which property states that the scalar product of vectors is commutative?
Which property states that the scalar product of vectors is commutative?
Which property states that the scalar product is distributive over vector addition?
Which property states that the scalar product is distributive over vector addition?
What is the result of the cross product of a vector with itself?
What is the result of the cross product of a vector with itself?
Which property states that the cross product of two vectors is orthogonal to both vectors?
Which property states that the cross product of two vectors is orthogonal to both vectors?
What is the result of the triple scalar product u ⋅ (v × w)?
What is the result of the triple scalar product u ⋅ (v × w)?
