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cscott
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How can I find the norm of [itex](\vec{v} - \vec{w})[/itex] without using [tex]||\vec{v} - \vec{w}||^2 = ||\vec{v}||^2 + ||\vec{w}||^2 - 2 ||\vec{v}|| \cdot ||\vec{w}|| \cos \theta[/tex]?
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cscott said:How can I find the norm of [itex](\vec{v} - \vec{w})[/itex] without using [tex]||\vec{v} - \vec{w}||^2 = ||\vec{v}||^2 + ||\vec{w}||^2 - 2 ||\vec{v}|| \cdot ||\vec{w}|| \cos \theta[/tex]?
cscott said:I know that the terminal point of the two vectors are v = (1, 6, 2) and w = (3, 1, 7)
The purpose of finding the norm of vector subtraction without using a formula is to understand the concept of vector subtraction and to develop a deeper understanding of the properties of vectors.
To find the norm of vector subtraction without using a formula, you can use the Pythagorean Theorem to calculate the magnitude of the vector resulting from the subtraction.
No, the norm of vector subtraction cannot be negative. It represents the magnitude or length of the resulting vector, which is always a positive value.
Finding the norm of vector subtraction helps in determining the direction and magnitude of the resulting vector. It is also useful in many applications, such as physics, engineering, and computer graphics.
Yes, there are alternative methods for finding the norm of vector subtraction without using a formula. One method is to use vector addition and subtraction properties to simplify the calculation of the resulting vector's magnitude.