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Mastering Vectors
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Mastering Vectors

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Questions and Answers

What is the definition of a vector?

A vector is a quantity that has both magnitude and direction.

What is the difference between a scalar and a vector?

A scalar has only magnitude, while a vector has both magnitude and direction.

How can vectors be added geometrically?

Vectors can be added geometrically by drawing them to a common scale and placing them head to tail.

What are the rules of vector algebra?

<p>Vectors obey the rules of vector algebra, which include commutative and associative laws for addition.</p> Signup and view all the answers

What is the difference between a scalar and a vector in terms of arithmetic?

<p>Scalars, such as temperature, obey the rules of arithmetic and ordinary algebra, while vectors obey the rules of vector algebra.</p> Signup and view all the answers

What is the difference between a scalar and a vector?

<p>Scalars have magnitude only, while vectors have both magnitude and direction.</p> Signup and view all the answers

How can vectors be added geometrically?

<p>Vectors can be added geometrically by drawing them to a common scale and placing them head to tail.</p> Signup and view all the answers

What are the rules of arithmetic and algebra that scalars obey?

<p>Scalars obey the rules of arithmetic and ordinary algebra.</p> Signup and view all the answers

What are the rules of vector algebra?

<p>Vectors obey the rules of vector algebra.</p> Signup and view all the answers

How can the components of a vector be calculated on a given coordinate system?

<p>The components of a vector can be calculated on a given coordinate system by showing them in a drawing.</p> Signup and view all the answers

Which of the following is true about vectors and scalars?

<p>Scalars have only magnitude, while vectors have both magnitude and direction.</p> Signup and view all the answers

How can two vectors be added geometrically?

<p>By drawing them to a common scale and placing them head to tail.</p> Signup and view all the answers

What is the difference between scalars and vectors in terms of arithmetic?

<p>Scalars obey the rules of arithmetic and ordinary algebra, while vectors obey the rules of vector algebra.</p> Signup and view all the answers

What can be determined from the components of a vector?

<p>The magnitude and orientation of the vector.</p> Signup and view all the answers

How can angle measures be converted between degrees and radians?

<p>By using the conversion factor $\pi/180$.</p> Signup and view all the answers

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