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벡터 계산기

벡터의 크기, 합, 내적을 계산합니다.

소개

Vector Calculator — Compute vector magnitude, sum, and dot product. Enter Vector 1 X, Vector 1 Y, Vector 1 Z, Vector 2 X, Vector 2 Y, Vector 2 Z to get an instant, accurate result.

공식

Magnitude = √(x²+y²+z²) for each vector. Sum adds components (x1+x2, y1+y2, z1+z2). Dot product = x1×x2 + y1×y2 + z1×z2. z defaults to 0 for 2D vectors.

단계별 안내

  1. Enter the Vector 1 X.
  2. Enter the Vector 1 Y.
  3. Enter the Vector 1 Z.
  4. Enter the Vector 2 X.
  5. Enter the Vector 2 Y.
  6. Enter the Vector 2 Z.
  7. Click Calculate to see your result instantly.

실제 예시

Example: With Vector 1 X = 1, Vector 1 Y = 2, Vector 1 Z = 3, Vector 2 X = 4, Vector 2 Y = 5, Vector 2 Z = 6, the Vector Calculator gives Magnitude 1: 3.7417, Magnitude 2: 8.775, Sum: 5, 7, 9.

자주 묻는 질문

Does this support 2D vectors?
Yes, leave the z-component as 0 to work in two dimensions.
What does the dot product tell you?
It relates to the angle between the two vectors — a dot product of 0 means the vectors are perpendicular.
What inputs does the Vector Calculator need?
You'll need to provide: Vector 1 X, Vector 1 Y, Vector 1 Z, Vector 2 X, Vector 2 Y, Vector 2 Z. All fields use sensible defaults, so you can see a working example immediately and then adjust the values to match your own numbers.
How accurate is the Vector Calculator?
The Vector Calculator applies the formula exactly as calculated — Magnitude = √(x²+y²+z²) for each vector. Sum adds components (x1+x2, y1+y2, z1+z2). Dot product = x1×x2 + y1×y2 + z1×z2. z defaults to 0 for 2D vectors. — so results are precise for the inputs you provide. Accuracy depends on entering correct, realistic input values.
Is the Vector Calculator free to use?
Yes, the Vector Calculator is completely free, requires no signup, and runs instantly in your browser.

벡터 계산기 소개

The Vector Calculator uses a real, verifiable formula — Magnitude = √(x²+y²+z²) for each vector. Sum adds components (x1+x2, y1+y2, z1+z2). Dot product = x1×x2 + y1×y2 + z1×z2. z defaults to 0 for 2D vectors. — so results are accurate every time, not an approximation.