Vector Algebra Question 63

Question: The equation of the line passing through the points $ a_1\mathbf{i}+a_2\mathbf{j}+a_3\mathbf{k} $ and $ b_1\mathbf{i}+b_2\mathbf{j}+b_3\mathbf{k} $ is

[RPET 2002]

Options:

A) $ (a_1\mathbf{i}+a_2\mathbf{j}+a_3\mathbf{k})+t(b_1\mathbf{i}+b_2\mathbf{j}+b_3\mathbf{k}) $

B) $ (a_1\mathbf{i}+a_2\mathbf{j}+a_3\mathbf{k})-t(b_1\mathbf{i}+b_2\mathbf{j}+b_3\mathbf{k}) $

C) $ a_1(1-t)\mathbf{i}+a_2(1-t)\mathbf{j}+a_3(1-t)\mathbf{k}+(b_1\mathbf{i}+b_2\mathbf{j}+b_3\mathbf{k})t $

D) None of these

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Answer:

Correct Answer: C

Solution:

  • It is obvious.