If the volume of a parallelopiped, whose coterminus edges are given by the vectors a = i + j + n k, b = 2 i + 4 j - n k and c = i + n j + 3 k (n ≥ 0), is 158 cu. units, then:

Vector Algebra: JEE Main 2020 Mathematics question

JEE Main 2020 · 5 Sep, Morning shift · Q5726

JEE Main 20205 Sep, Morning shiftMathematicsMediumVector Algebra184× since 2002

If the volume of a parallelopiped, whose coterminus edges are given by the vectors

\overrightarrow a = \widehat i + \widehat j + n\widehat k

\overrightarrow b = 2\widehat i + 4\widehat j - n\widehat k

and

\overrightarrow c = \widehat i + n\widehat j + 3\widehat k

(

n \ge 0

), is 158 cu. units, then :

JEE Main 2020 · 5 Sep, Morning shift · Q5726

JEE Main 20205 Sep, Morning shiftMathematicsMediumVector Algebra184× since 2002

If the volume of a parallelopiped, whose coterminus edges are given by the vectors

\overrightarrow a = \widehat i + \widehat j + n\widehat k

\overrightarrow b = 2\widehat i + 4\widehat j - n\widehat k

and

\overrightarrow c = \widehat i + n\widehat j + 3\widehat k

(

n \ge 0

), is 158 cu. units, then :