Vector Algebra Question 323
Question: For any three non-zero vectors $ r_1,,r_2 $ and $ r_3 $ , $ | ,\begin{matrix} r_1,.,r_1 & r_1,.,r_2 & r_1,.,r_3 \\ r_2,.,r_1 & r_2,.,r_2 & r_2,.,r_3 \\ r_3,.,r_1 & r_3,.,r_2 & r_3,.,r_3 \\ \end{vmatrix} =0 $ . Then which of the following is false
[AMU 2000]
Options:
A) All the three vectors are parallel to one and the same plane
B) All the three vectors are linearly dependent
C) This system of equation has a non-trivial solution
D) All the three vectors are perpendicular to each other
Show Answer
Answer:
Correct Answer: A
Solution:
-
It is obvious.
BETA
