Let a = i - k , b =x i + j +(1-x) k and c =y i +x j +(1+x-y) k . Then [ array lll a & b &…
Mathematics · JEE Advanced · NTA Exams — Vector Algebra
Let \(\vec{a}=\hat{\mathbf{i}}-\hat{k}, \vec{b}=x \hat{i}+\hat{j}+(1-x) \hat{k}\) and
\(\vec{c}=y \hat{i}+x \hat{j}+(1+x-y) \hat{k} .\)Then \(\left[\begin{array}{lll} \vec{a} & \vec{b} & \vec{c} \end{array}\right]\) depends on
\(\vec{c}=y \hat{i}+x \hat{j}+(1+x-y) \hat{k} .\)Then \(\left[\begin{array}{lll} \vec{a} & \vec{b} & \vec{c} \end{array}\right]\) depends on
- only x
- only y
- neither x nor y
- both x and y
Answer
(C) neither x nor y
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