Vectors Graphically ( Picture Included )

Thread starter rogerthat
Start date Oct 16, 2006
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Picture Vectors

In summary, a vector is a mathematical quantity that has both magnitude and direction, and is represented by an arrow. Vectors are graphically represented as arrows with the arrowhead indicating direction and the length representing magnitude. The difference between a scalar and a vector is that a scalar is fully described by its magnitude, while a vector is described by both magnitude and direction. Vectors can be added graphically by placing the tail of the second vector at the head of the first vector. Position and displacement vectors differ in that a position vector describes the location of a point, while a displacement vector describes the change in position of an object.

Oct 16, 2006

rogerthat

Edit: Got it.

:D

Last edited: Oct 16, 2006

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Oct 16, 2006

radou

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'30 degrees North of West' means you rotate for 30 degrees towards North, starting from West.

Oct 16, 2006

rogerthat

I got it. I don't know how I screwed that up earlier.

Last edited: Oct 16, 2006

What is a vector?

A vector is a mathematical quantity that has both magnitude (size) and direction. It is represented by an arrow in a specific direction and length, and can be used to describe physical quantities such as velocity, force, and displacement.

How are vectors graphically represented?

Vectors are graphically represented as arrows, with the arrowhead indicating the direction and the length of the arrow representing the magnitude of the vector.

What is the difference between a scalar and a vector?

A scalar is a quantity that is fully described by its magnitude, while a vector is described by both magnitude and direction. For example, speed is a scalar quantity, while velocity (speed with direction) is a vector quantity.

How are vectors added graphically?

To add two vectors using graphical methods, the tail of the second vector is placed at the head of the first vector. The sum of the two vectors is then represented by a new vector that starts at the tail of the first vector and ends at the head of the second vector.

What is the difference between position and displacement vectors?

A position vector describes the location of a point in space relative to an origin point, while a displacement vector describes the change in position of an object from its initial to final position.