Vector-Algebra Question 403
Question: Let $ {{\vec{r}}_1},{{\vec{r}}2},{{\vec{r}}3},…..{{\vec{r}}{n}}, $ be the position vectors of points $ P_1,P_2,P_3,….,P{n} $ relative to the origin O. If the vector equation $ a_1{{\vec{r}}1}+a_2{{\vec{r}}2}+….+a{n}{{\vec{r}}{n}}=0 $ holds, then a similar equation will also hold w.r.t. to any other origin provided
Options:
A) $ a_1+a_2+….+a_{n}=n $
B) $ a_1+a_2+….+a_{n}=1 $
C) $ a_1+a_2+….+a_{n}=0 $
D) $ a_1=a_2=a_3=….=a_{n}=0 $
Correct Answer: C
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Answer:
Solution:
BETA
