Vector Algebra Question 308
Question: If a and b are two non-zero and non-collinear vectors, then a + b and a ? b are
[MP PET 1997]
Options:
A) Linearly dependent vectors
B) Linearly independent vectors
C) Linearly dependent and independent vectors
D) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
- Since $ \mathbf{a} $ and $ \mathbf{b} $ are non-collinear, so $ \mathbf{a}+\mathbf{b} $ and $ \mathbf{a}-\mathbf{b} $ will also be non-collinear. Hence, a + b and a ? b are linearly independent vectors.
BETA
