slight reorder
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| ... | ... | @@ -12,19 +12,19 @@ This means the dot product of the vectors A and B. |
| 12 | 12 | |
| 13 | 13 | The Dot Product is a way of multiplying two vectors together. |
| 14 | 14 | |
| 15 | We can calculate the Dot Product of two vectors this way: |
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| 15 | We can calculate it algebraically this way: |
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| 16 | 16 | |
| 17 | A · B = \|A\| × \|B\| × cos(θ)
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| 17 | A · B = Ax × Bx + Ay × By + Az × Bz
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| 18 | 18 | |
| 19 | Where \|A\| is the magnitude (length) of vector A, \|B\| is the magnitude (length) of vector B, and θ is the angle between A and B. |
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| 19 | We multiply the x's, multiply the y's, multiply the z's, and then sum them all together. |
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| 20 | 20 | |
| 21 | So we multiply the length of A times the length of B, then multiply by the [[cosine|Cos]] of the angle between A and B. |
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| 21 | For more advanced readers, it can also be calculated this way: |
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| 22 | 22 | |
| 23 | We can also calculate it algebraically this way: |
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| 23 | A · B = \|A\| × \|B\| × cos(θ) |
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| 24 | 24 | |
| 25 | A · B = Ax × Bx + Ay × By + Az × Bz |
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| 25 | Where \|A\| is the magnitude (length) of vector A, \|B\| is the magnitude (length) of vector B, and θ is the angle between A and B. |
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| 26 | 26 | |
| 27 | So we multiply the x's, multiply the y's, multiply the z's, and then sum them all together. |
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| 27 | So we multiply the length of A times the length of B, then multiply by the [[cosine|Cos]] of the angle between A and B. |
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| 28 | 28 | |
| 29 | 29 | The result is a [[number]] (called a "scalar" so we know it's not a vector). |
| 30 | 30 |