If the dot product of two non-zero vectors is zero, then the vectors A)are parallel to each other. B)are perpendicular to each other. C)can have any orientation. D)are anti-parallel to each other.

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Chestonky1a · Accepted Answer

The correct answer is D are perpendicular to each other.The scalar product of two vectors             A      →       and             B      →       is given by.            A      →        ⋅            B      →        =  A  B  cos  ⁡  θ where   θ is the angle between             A      →       and             B      →      When   cos  ⁡  θ is 0, the scalar product will also be zero.  ⇒  θ  =      90          ∘      , thus, the vectors will be perpendicular to each other.

If the dot product of two non-zero vectors is zero, then the vectors A)are parallel to each other. B)are perpendicular to each other. C)can have any orientation. D)are anti-parallel to each other.

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