A) \[\vec{u},\vec{v}\] are parallel vectors
B) \[\vec{u},\vec{v}\] are orthogonal vectors
C) \[\vec{u}.\vec{v}=1\]
D) \[\vec{u}\times \vec{v}=\vec{i}+\vec{j}+\vec{k}\]
Correct Answer: B
Solution :
[b] \[\frac{1}{a}=A+(p-1)D;\frac{1}{b}=A+(q-1)D;\] \[\frac{1}{c}=A+(r-1)D\] \[\therefore q-r=\frac{c-b}{bcD},r-p=\frac{a-c}{acD}\] \[p-q=\frac{b-a}{abD}\Rightarrow \frac{q-r}{a}+\frac{r-p}{b}+\frac{p-q}{c}=0\] \[\Rightarrow \overset{\to }{\mathop{u}}\,\cdot \overset{\to }{\mathop{v}}\,=0\]You need to login to perform this action.
You will be redirected in
3 sec