Calculating the Magnitude of U + V + W

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To calculate the magnitude of the vector sum U + V + W, first add the vectors U(1, -1, 2), V(0, 3, -1), and W(-1, -1, 1) together. The resulting vector is obtained by summing the corresponding components of each vector. After obtaining the resultant vector, the magnitude is calculated using the formula |V| = √(a² + b² + c²). This process confirms that the task involves vector addition followed by magnitude calculation. The approach is straightforward and correct.
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Homework Statement


U(1, -1, 2)
V(0, 3, -1)
W(-1, -1 1)
Calculate ||(U + V + W)

Homework Equations


is it as simple as U + V + W then finding out the magnitude of that point.

The Attempt at a Solution


[/B]
For example (U + V) + W
then the magnitude of that point?
 
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As far as I can work out it is right but it just seems too simple.
 
mattyk said:

Homework Statement


U(1, -1, 2)
V(0, 3, -1)
W(-1, -1 1)
Calculate ||(U + V + W)
I think you want |U + V + W|
mattyk said:

Homework Equations


is it as simple as U + V + W then finding out the magnitude of that point.
These are apparently vectors, not points. And yes, just add the three vectors and then find the magnitude.

For a vector V = <a, b, c>, |V| = ##\sqrt{a^2 + b^2 + c^2}##.
mattyk said:

The Attempt at a Solution


[/B]
For example (U + V) + W
then the magnitude of that point?
 
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