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Definition and examples
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Vector Algebra
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Vector Operation
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Orthogonal vectors calculator |
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- `(3,4), (-4,3)`
- `(1,2), (3,4)`
- `(3,4,0), (-4,3,2)`
- `(3,4,0), (2,2,1)`
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Solution
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Solution provided by AtoZmath.com
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Orthogonal vectors calculator
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 1. `(3,4), (-4,3)`
2. `(1,2), (3,4)`
3. `(3,4,0), (-4,3,2)`
4. `(3,4,0), (2,2,1)`
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Example1. Find isOrthogonal(A,B)
`A=(3,4,0)`,`B=(-4,3,2)`
Solution:
Here `vec A=(3,4,0),vec B=(-4,3,2)`
Two vectors `vec A` and `vec B` are orthogonal, if their dot product is zero. i.e. `vec A * vec B = 0`
1. Calculate dot product
`vec A * vec B`
`=A_1*B_1 + A_2*B_2 + A_3*B_3`
`=3*(-4) + 4*3 + 0*2`
`=-12 + 12 + 0`
`=0`
Here dot product is zero, so vectors are orthogonal
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