Vector Algebra Question 313

Question: If $ \mathbf{a}=(2,5) $ and $ \mathbf{b}=(1,4), $ then the vector parallel to $ (\mathbf{a}+\mathbf{b}) $ is

Options:

A) (3, 5)

B) (1, 1)

C) (1, 3)

D) (8, 5)

Show Answer

Answer:

Correct Answer: C

Solution:

  • $ \mathbf{a}+\mathbf{b}=3\mathbf{i}+9\mathbf{j}=3(\mathbf{i}+3\mathbf{j}). $ Hence it is parallel to $ (1,,3). $