If a = i + j + k , b =4 i +3 j +4 k and c = i + j + k are linearly dependent vectors and…
Mathematics · JEE Advanced · NTA Exams — Vector Algebra
If \(\vec{a}=\hat{\mathbf{i}}+\hat{\mathbf{j}}+\hat{k}, \vec{b}=4 \hat{i}+3 \hat{j}+4 \hat{k}\) and \(\vec{c}=\hat{i}+\alpha \hat{j}+\beta \hat{k}\) are linearly dependent vectors and \(|\vec{c}|=\sqrt{3}\), then
- α = 1, β = 1
- α = 1, β = ± 1
- α = –1, β = ± 1
- α = ±1, β = 1
Answer
(B) α = 1, β = ± 1
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