Vector Algebra Question 286

Question: The vectors $ 3,\mathbf{i}+\mathbf{j}-5,\mathbf{k} $ and $ a,\mathbf{i}+b,\mathbf{j}-15,\mathbf{k} $ are collinear, if

[RPET 1986; MP PET 1988]

Options:

A) $ a=3,b=1 $

B) $ a=9,b=1 $

C) $ a=3,b=3 $

D) $ a=9,b=3 $

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Answer:

Correct Answer: D

Solution:

  • $ \frac{3}{a}=\frac{1}{b}=\frac{-5}{-15}\Rightarrow a=9,b=3. $