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) \[r=t(2k-i)\]
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 \[\mathbf{r}=(\mathbf{i}-2\mathbf{j}+\mathbf{k})+t\,(2\mathbf{k}-\mathbf{i}).\]
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