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jjiimmyy101
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If I'm given a vector in 3D and it asks me to find the magnitude, I just take the square root of the numbers squared. But if I'm just given a magnitude and direction how could I find the vector?
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jjiimmyy101 said:If I'm given a vector in 3D and it asks me to find the magnitude, I just take the square root of the numbers squared. But if I'm just given a magnitude and direction how could I find the vector?
I was given a magnitude (a number) and the direction is the same as this vector (and the vector was given as ?i + ?j +?k).The magnitude is a number of course, but how are you given the directions?
futb0l said:Since...
[tex] \hat{a} = \frac{a}{|a|} [/tex]
then
[tex]a = \hat{a}*|a|[/tex]
simple algebra ;)
The magnitude of a 3D vector is the length or size of the vector represented by a numerical value.
The magnitude of a 3D vector is calculated using the Pythagorean theorem, which states that the magnitude is equal to the square root of the sum of the squares of the vector's components (x, y, and z).
The magnitude of a 3D vector is important because it represents the strength or intensity of the vector's direction and can be used to calculate other properties such as speed and acceleration.
The magnitude of a 3D vector refers to the length or size of the vector, while the direction refers to the angle or orientation of the vector in three-dimensional space.
The magnitude of a 3D vector affects its properties such as speed, acceleration, and force. A larger magnitude indicates a stronger vector, while a smaller magnitude indicates a weaker vector.