Explore our comprehensive suite of Vector Algebra Calculators. Quickly find the magnitude of 2D/3D vectors, compute dot and cross products, perform vector addition and subtraction, and understand vector components. Perfect for students and professionals in physics, engineering, and mathematics.
Formula:
Let two vectors be &vec;A = (Ax, Ay, Az) and &vec;B = (Bx, By, Bz).
- Magnitude of &vec;A: |&vec;A| = √(Ax2 + Ay2 + Az2)
- Magnitude of &vec;B: |&vec;B| = √(Bx2 + By2 + Bz2)
- Dot Product (&vec;A · &vec;B): AxBx + AyBy + AzBz
- Cross Product (&vec;A × &vec;B): (AyBz - AzBy)&hat;i + (AzBx - AxBz)&hat;j + (AxBy - AyBx)&hat;k
- Vector Addition (&vec;A + &vec;B): (Ax + Bx, Ay + By, Az + Bz)
- Vector Subtraction (&vec;A - &vec;B): (Ax - Bx, Ay - By, Az - Bz)