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). $