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Vector Algebra
Vector Operation

Orthogonal vectors calculator
Vector A : Vector B : Vector C :
( ) , ( ) , ( )
Find :
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SolutionHelp
Orthogonal vectors calculator
1. (3,4), (-4,3)
2. (1,2), (3,4)
3. (3,4,0), (-4,3,2)
4. (3,4,0), (2,2,1)


Example
1. 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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