The calculator will find the magnitude (length, norm) of the vector
⟨−4,5,7⟩, 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 ∣−4∣2+∣5∣2+∣7∣2=90.
Therefore, the magnitude of the vector is ∣u∣=90=310.
Answer
The magnitude is 310≈9.486832980505138A.