The calculator will find the magnitude (length, norm) of the vector
⟨5,−2,3⟩, with steps shown.
Solution
The vector magnitude of a vector is given by the formula ∣u∣=∑i=1n∣ui∣2.
The sum of squares of the absolute values of the coordinates is ∣5∣2+∣−2∣2+∣3∣2=38.
Therefore, the magnitude of the vector is ∣u∣=38.
Answer
The magnitude is 38≈6.164414002968976A.