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Chapter 4: Q1P (page 84)

The position vector for an electron is r→=(5.0m)i^-(3.0m)j^+(2.0m)k^.

(a) Find the magnitude ofr. (b) Sketch the vector on a right-handed coordinate system.

Short Answer

Expert verified

(a) The magnitude of vector ris 6.2 m.

(b) The vector is drawn on a right handed coordinate system.

Step by step solution

01

Given data

The position vector for an electron,r→=(5.0m)i^-(3.0m)j^+(2.0m)k^

02

Understanding the vector magnitude

A vector is a geometrical object with both magnitude and direction. The magnitude is the length of the vector.

The expression for the magnitude of a vector ris given as:

… (i)

Here,x, y and z are the components of vectors in X, Y and Z-directions.

03

(a) Determination of the magnitude of vector r→

Using equation (i), the magnitude can be calculated as:

Thus, the magnitude of vectorr is6.2m.

04

(b) To draw the vector diagram

The figure below shows the position vector for the electron.

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