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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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