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Question: If **a** and **b** are two non-zero and non-collinear vectors, then **a** + **b** and **a** – **b**...

If a and b are two non-zero and non-collinear vectors, then

a + b and a – b are

A

Linearly dependent vectors

B

Linearly independent vectors

C

Linearly dependent and independent vectors

D

None of these

Answer

Linearly independent vectors

Explanation

Solution

Since a\mathbf { a } and are non-collinear, so a+b\mathbf { a } + \mathbf { b } and a−b\mathbf { a } - \mathbf { b } will also be non-collinear. Hence, a + b and a – b are linearly independent vectors.