3D vector calculator: dot and cross product

Set the components of two vectors and see them in 3D with their sum, the dot product and angle between them, and the cross product at right angles to both.

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Questions students ask

How do you find the angle between two vectors?

cos θ = (a · b) / (|a||b|). If the dot product is zero the vectors are perpendicular.

What does the cross product give?

A vector at right angles to both, whose length equals the area of the parallelogram they make.

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