Explain representation of a vector graphically and symbolically.

1.	Explain representation of a vector graphically and symbolically.
Answer» 1. Graphical representation: A vector is graphically represented by a directed line segment or an arrow. eg.: displacement of a body from P to Q is represented as P → Q. 2. Symbolic representation: Symbolically a vector is represented by a single letter with an arrow above it, such as \(\overset{\rightarrow}{A}\). The magnitude of the vector \(\overset{\rightarrow}{A}\) is denoted as \|A\| or \| \(\overset{\rightarrow}{A}\) \| or A.

Answer»

1. Graphical representation:

A vector is graphically represented by a directed line segment or an arrow.

eg.: displacement of a body from P to Q is represented as P → Q.

2. Symbolic representation:

Symbolically a vector is represented by a single letter with an arrow above it, such as \(\overset{\rightarrow}{A}\). The magnitude of the vector \(\overset{\rightarrow}{A}\) is denoted as |A| or | \(\overset{\rightarrow}{A}\) | or A.

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