Vector Calculator (Dot & Cross Product)

Math Tools

Dot product, cross product, magnitude and angle

FreePrivateInstant
A: x
A: y
A: z
B: x
B: y
B: z

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Vector Calculator (Dot & Cross Product) — at a glance

Do vector maths with two vectors.

You enter
A = (1, 2, 3)
B = (4, 5, 6)
Calculate
Result
Dot product
Cross product
Angle

How to use it — step by step

The x, y and z parts of vector A and vector B.

1

Enter your values

Fill in the fields. Default numbers are shown so you can see how it works.

2

Press Calculate

The answer appears at once as large result cards.

3

Copy or share

Copy the result, or share a link that opens with your numbers filled in.

Pro tips

Small things that make the result better.

✦For 2D vectors leave z as 0.
✦The cross product is perpendicular to both vectors.
✦A dot product of 0 means the vectors are perpendicular.

Quick facts

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Frequently Asked Questions

What does the dot product tell me?+

How much two vectors point the same way. It is zero when they are at a right angle.

What is the cross product?+

A vector perpendicular to both inputs, whose length is the area of their parallelogram.

Is my data safe?+

Yes. Everything runs inside your own browser. Your text, files and images are never uploaded to any server.

Is this tool really free?+

Yes — completely free, no signup, no watermark and no usage limit.

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