The calculator will find the magnitude (length, norm) of the vector
⟨1,−3,−4⟩, 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 ∣1∣2+∣−3∣2+∣−4∣2=26.
Therefore, the magnitude of the vector is ∣u∣=26.
Answer
The magnitude is 26≈5.099019513592785A.