Vector Algebra Question 189
Question: The vector equation of the line joining the points $ i-2j+k $ and $ -2j+3k $ is
[MP PET 2003]
Options:
A) $ r=t(i+j+k) $
B) $ r=t_1(i-2j+k)+t_2(3k-2j) $
C) $ r=(i-2j+k)+t(2k-i) $
D) $ r=t(2k-i) $
Show Answer
Answer:
Correct Answer: C
Solution:
- Vector equation of a straight line passing through two points a and b is, $ \mathbf{r}=\mathbf{a}+t(\mathbf{b}-\mathbf{a}) $
Þ $ \mathbf{r}=(\mathbf{i}-2\mathbf{j}+\mathbf{k})+t,(2\mathbf{k}-\mathbf{i}). $
BETA
