I think you want |U + V + W|mattyk said:Homework Statement
U(1, -1, 2)
V(0, 3, -1)
W(-1, -1 1)
Calculate ||(U + V + W)
These are apparently vectors, not points. And yes, just add the three vectors and then find the magnitude.mattyk said:Homework Equations
is it as simple as U + V + W then finding out the magnitude of that point.
mattyk said:The Attempt at a Solution
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For example (U + V) + W
then the magnitude of that point?
To calculate the magnitude of U + V + W, you must first find the individual magnitudes of each vector. This can be done by taking the square root of the sum of the squares of the vector's components. Once you have the individual magnitudes, you can add them together and take the square root of the sum to find the magnitude of U + V + W.
Calculating the magnitude of U + V + W is useful in many applications, such as physics, engineering, and mathematics. It allows us to understand the total magnitude or strength of multiple vectors acting together and can help us solve problems related to motion, forces, and other physical phenomena.
Magnitude refers to the size or strength of a vector, while direction refers to the angle or orientation of the vector. In other words, magnitude tells us how much of something we have, while direction tells us where it is pointing. Both magnitude and direction are important when working with vectors.
Yes, there are a few limitations to calculating the magnitude of U + V + W. First, this calculation assumes that the vectors are acting in the same direction, so it may not be accurate if the vectors are not parallel. Additionally, this calculation does not take into account any external forces or factors that may affect the vectors.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. This concept can be applied to calculate the magnitude of U + V + W, which is essentially the hypotenuse of a right triangle with sides of U, V, and W as the other two sides.