NIMCET 2024 Paper

Section: Mathematics

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Question : 4 of 120

Marks: +1, -0

The value of

m

for which the volume of the parallelepiped is 4 cubic units, whose three edges are represented by:

a=m {i}↖{∧}+{j}↖{∧}+{k}↖{∧}, b={i}↖{∧}-{j}↖{∧}+{k}↖{∧}, c={i}↖{∧}+2 {j}↖{∧}-{k}↖{∧}

is:

0
-2
-1
1

Solution:

Volume of the parallelepiped is given by

\;{|\table m , 1 , 1 ; 1 , -1 , 1 ; 1 , 2 , -1 |}=4

\;⇒ m(-1)-1(-2)+(3)=4

\;⇒ m=5-4=1

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