MCQ
The angle between $(\overrightarrow A - \overrightarrow B )$ and $(\overrightarrow A \times \overrightarrow B )$ is $(\overrightarrow{ A } \neq \overrightarrow{ B })$
- A$120$
- B$45$
- ✓$90$
- D$60$
✓
Answer
Correct option: C.
$90$
c
$\overrightarrow{ A }, \overrightarrow{ B }, \overrightarrow{ A }-\overrightarrow{ B }$ are in same plane. $\overrightarrow{ A } \times \overrightarrow{ B }$ is perpendicular to the plane of $\vec{A}, \vec{B}$ and $\vec{A}-\vec{B}$ then angle between $\vec{A}-\vec{B}$ and $\overrightarrow{ A } \times \overrightarrow{ B }$ is $90^{\circ}$.
$\overrightarrow{ A }, \overrightarrow{ B }, \overrightarrow{ A }-\overrightarrow{ B }$ are in same plane. $\overrightarrow{ A } \times \overrightarrow{ B }$ is perpendicular to the plane of $\vec{A}, \vec{B}$ and $\vec{A}-\vec{B}$ then angle between $\vec{A}-\vec{B}$ and $\overrightarrow{ A } \times \overrightarrow{ B }$ is $90^{\circ}$.
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