AP EAMCET · Maths · Vector Algebra
Let a, b and c are 3 non zero vectors such that no 2 of these are collinear. If vector a + 2b is collinear with c and b + 3c is collinear with a (l being some non zero scalar) then
a + 2b + 6c equals
- A \(\lambda \mathbf{a}\)
- B \(\lambda \mathbf{b}\)
- C \(\lambda \mathbf{c}\)
- D 0
Answer & Solution
Correct Answer
(D) 0
Step-by-step Solution
Detailed explanation
Given a, b and c are non zero vectors such that no two of these are collinear. a + 2b is collinear with c and b + 3c is collinear with a. To Find a + 2b + 6c Since, a + 2b is collinear with c. \(\Rightarrow \quad \mathbf{a}+2 \mathbf{b}=m \mathbf{c}...(i)\) where m is non zero…
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