For a \in R, if the vectors \overline{p}=(a+1) \overline{i}+a \overline{j}+a \overline{k}, \overline{ {\q}}= {\a} \overline{ {\i}}+( {\a}+1) \overline{ {\j}}+ {\ak} and \overline{r}=a \overline{i}+a \overline{j}+(a+1) \overline{k} are coplanar and 3(\overline{p} \cdot \overline{q})^2-\lambda|\overline{r} \times \overline{q}|^2=0, then the value of \lambda is [AP EAPCET 22 May 2025 S1]

AP EAPCET 22 May 2025 Shift 1 Paper

Section: Mathematics

Question : 32 of 160

Marks: +1, -0

For a∈R, if the vectors p=(a+1)i+aj+ak,q=ai+(a+1)j+ak and r=ai+aj+(a+1)k are coplanar and 3(p⋅q)2−λ|r×q|2=0, then the value of λ is

[AP EAPCET 22 May 2025 S1]

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