Question

Compute the length and absolute value of the following vectors:

a. x = [2, 4, 7]

b. y = [2, -4, 7]

c. z = [5 + 3i, -3 + 4i, 2 - 7i]

Answer 1

We need to compute the length and absolute values of the vector. The functions used are

 

For length, length(x)

For absolute value, abs(x)

 

(a)

Here we have vector

x = [2, 4, 7]

 

The MATLAB output is shown below:

 

We can see that our solution is

 

Length = 3

Absolute value = [2, 4, 7]

 

(b)

Now, our vector is:

y = [2, -4, 7]

 

The MATLAB output is shown below:

 

We see that our solution is

Length = 3

Absolute value = [2, 4, 7]

 

(c)

Now, our vector is

z = [5 + 3i, -3 + 4i, 2 – 7i]

 

The MATLAB command is shown below:

 

Our solution is

Length = 3

Absolute value = [5.8310, 5, 7.2801]

(a) Here we have vector

x = [2, 4, 7]

(b) Now, our vector is:

y = [2, -4, 7]

(c) Now, our vector is

z = [5 + 3i, -3 + 4i, 2 – 7i]