very easy but im stuck plz help me

**falta** · March 6th 2010, 03:00 AM

hi every one im new member in this fourm ..and i need your help...

this is the question

Suppose

,

and

.
Compute the following values

||2u-4v+w||=

how to compute this????

**Prove It** · March 6th 2010, 03:49 AM

Originally Posted by falta

hi every one im new member in this fourm ..and i need your help...

this is the question

Suppose

,

and

.
Compute the following values

||2u-4v+w||=

how to compute this????

I assume that you are trying to find $|2\mathbf{u} - 4\mathbf{v} + \mathbf{w}|$ .

$2\mathbf{u} - 4\mathbf{v} + \mathbf{w} = 2(3\mathbf{i} + \mathbf{j} + 5\mathbf{k}) - 4(5\mathbf{i} - 3\mathbf{j} + 3\mathbf{k}) + (-4\mathbf{i} - 4\mathbf{j} - 3\mathbf{k})$

$= 6\mathbf{i} +2\mathbf{j} + 10\mathbf{k} - 20\mathbf{i} + 12\mathbf{j} - 12\mathbf{k} -4\mathbf{i} - 4\mathbf{j} - 3\mathbf{k}$

$= -18\mathbf{i} + 10\mathbf{j} - 5\mathbf{k}$ .

So $|2\mathbf{u} - 4\mathbf{v} + \mathbf{w}| = \sqrt{(-18)^2 + 10^2 + (-5)^2}$

$= \sqrt{324 + 100 + 25}$

$= \sqrt{449}$

**falta** · March 6th 2010, 07:42 AM

thank u very much i got 10 on 10 because of u ....thanx

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