ACTIVITY 3.4
MODULE OF THE PRODUCT OF A SCALAR BY A VECTOR

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¿How we can obtain the module of from m and the module of?. That is to say ¿how much does || value?

We remember that we define like a vector that it has:

1) Direction : The same one that if m is positive
                        Opposite to the from if m is negative
2) Module: the module ofmultiplied by the absolute value of m

We can write therefore ||= |m|||, where |m| it wants to say absolute value of m, and || wants to say module of.

It's important to observe, for example, that module of  -3 is not -3 multiplied by the module of, it is 3 by the module of.


INTERACTIVE ACTIVITY

1) You situate C point so that = 2.
¿Which relation there is between || and ||?

2) You situate C point so that = 4.
¿Which relation there is between || and ||?

3) You situate C point so that = -2.
¿Which relation there is between || and ||?

4) You situate C point so that = -3.
¿Which relation there is between || and ||?

5) You situate C point so that = -.
¿Which relation there is between || and ||?

SOLUTION


HOMEWORK

a) Vectorhas module 6. Which module have the following vectors? : 3, -2, ½, -1.5 and 2.4?

b) If || = 5.4, you calculate | -5|, | 4|, | -3|, | 2| and | -|.


END OF ACTIVITY 3.4
MODULE OF THE PRODUCT OF A SCALAR BY A VECTOR

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