Grundelzgs2

2023-03-22

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.

Chestonky1a

Beginner2023-03-23Added 5 answers

The correct answer is D are perpendicular to each other.

The scalar product of two vectors $\overrightarrow{A}$ and $\overrightarrow{B}$ is given by.

$\overrightarrow{A}\cdot \overrightarrow{B}=AB\mathrm{cos}\theta $

where $\theta $ is the angle between $\overrightarrow{A}$ and $\overrightarrow{B}$

When $\mathrm{cos}\theta $ is 0, the scalar product will also be zero.

$\Rightarrow \theta ={90}^{\circ}$, thus, the vectors will be perpendicular to each other.

The scalar product of two vectors $\overrightarrow{A}$ and $\overrightarrow{B}$ is given by.

$\overrightarrow{A}\cdot \overrightarrow{B}=AB\mathrm{cos}\theta $

where $\theta $ is the angle between $\overrightarrow{A}$ and $\overrightarrow{B}$

When $\mathrm{cos}\theta $ is 0, the scalar product will also be zero.

$\Rightarrow \theta ={90}^{\circ}$, thus, the vectors will be perpendicular to each other.

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