Let \overline{a}=\lambda \overline{i}+3 \overline{j}+4 \overline{k}, \overline{b}=3 \overline{i}-\overline{j}+\lambda \overline{k} and \overline{c}=\lambda \overline{i}+\overline{j}-3 \overline{k} be three vectors for some integer \lambda. If the volume of the parallelepiped with \overline{a}, \overline{b}, \overline{c} as coterminus edges is 61 cubic units, then the number of possible values of \lambda is [TG EAPCET 13 May 2023 Shift 1]

TS EAMCET Engineering 13 May 2023 Shift 1 Solved Paper

Section: Mathematics

Question : 35 of 160

Marks: +1, -0

Let a=λi+3j+4k,b=3i−j+λk and c=λi+j−3k be three vectors for some integer λ. If the volume of the parallelepiped with a,b,c as coterminus edges is 61 cubic units, then the number of possible values of λ is

[TG EAPCET 13 May 2023 Shift 1]

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