If the volume of a parallelopiped whose adjacent edges are \hat{a}=2 \hat{i}+3 \hat{j}+4 \hat{k}, \hat{b}=\hat{i}+\alpha \hat{j}+2 \hat{k}, \hat{c}=\hat{i}+2 \hat{j}+\alpha \hat{k} is 15 , then \alpha is equal to

NIMCET 2022 Question Paper with solutions

Question : 35 of 120

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If the volume of a parallelopiped whose adjacent edges are

{a}↖{∧}=2 {i}↖{∧}+3 {j}↖{∧}+4 {k}↖{∧}, {b}↖{∧}={i}↖{∧}+α {j}↖{∧}+2 {k}↖{∧}, {c}↖{∧}={i}↖{∧}+2 {j}↖{∧}+α {k}↖{∧}

is 15 , then

α

is equal to

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