The vector a = i +2 j + k lies in the plane of the vectors b = i + j and c = j + k and…
Mathematics · JEE Main · NTA Exams — Three Dimensional Geometry
The vector \(\vec{a}=\alpha \hat{i}+2 \hat{j}+\beta \hat{k}\)lies in the plane of the vectors \(\overrightarrow{\mathrm{b}}=\hat{\mathrm{i}}+\hat{\mathrm{j}}\) and \(\overrightarrow{\mathrm{c}}=\hat{\mathrm{j}}+\hat{\mathrm{k}}\) and bisects the angle between
and \(\stackrel{\rightharpoonup}{\mathrm{c}}\). Then which one of the following gives possible values of α and β ?
and \(\stackrel{\rightharpoonup}{\mathrm{c}}\). Then which one of the following gives possible values of α and β ?- α = 1, β = 1
- α = 2, β = 2
- α = 1, β = 2
- α = 2, β = 1
Answer
(A) α = 1, β = 1
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