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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. `(3,4,0),(-4,3,2)`
2. `(3,4),(-4,3)`
3. `(4,2),(3,-6)`
4. `(3,4,0),(2,2,1)`
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Example (with steps)1. Find Orthogonal vectors `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`
Here dot product is zero, so vectors are orthogonal
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