Vector magnitude and direction
Find the magnitude of a vector (Pythagorean triples) or the direction angle of an axis-aligned/diagonal vector. Unlimited questions, five difficulty levels, and a full worked solution every time — free.
Try one
Find the magnitude of the vector v = (-5, 12).
Answer: 13
See one solved, step by step
Find the magnitude of the vector v = (-20, 21).
📘 Worked solution
1|v| = √(−202 + 212) = √(400 + 441)Magnitude comes from the Pythagorean theorem applied to the components.
2= √(841) = 29Simplify the square root.
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